## Personal Data

Full name

Stanislav Antontsev

Publishing name

Stanislav Antontsev

Birthday

1943-09-29T00:00:00

## Academic Degrees

DOUTORAMENTO(0)

Degree date

1967

Final grade

aprovado

Degree granting institution

Outra

School / College / Campus

Other

Thesis title

Supervisor

Co-supervisor

Scientific area

AGREGAÇÃO(0)

Degree date

1982

Final grade

aprovado

Degree granting institution

Outra

School / College / Campus

Other

Thesis title

Supervisor

Co-supervisor

Scientific area

MESTRADO(0)

Degree date

1965

Final grade

com distinção

Degree granting institution

Outra

School / College / Campus

Faculdade de Ciências do Mar e do Ambiente

Thesis title

Supervisor

Co-supervisor

Scientific area

AGREGAÇÃO(0)

Degree date

2003

Final grade

aprovado

Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title

Supervisor

Co-supervisor

Scientific area

DOUTORAMENTO(0)

Degree date

1998

Final grade

equivâlencia ao grau de doutor

Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title

Supervisor

Co-supervisor

Scientific area

## Profissional activity

Period | Position | Institution |
---|---|---|

2007-present | Bolseiro de FCT | CMAF, Universldade de Lisboa |

2006-2007 | Professor Visitante | Universidad Complutense , Madrid, Espanha |

1995-2005(a partir de 01.10.2005 com remunaração %) | Professor Catedratico Visitante | Universidade da Beira Interior |

1983-1993 | Professor Catedrático, part-time | Universidade estatal de Novossibirsk, Novossibirsk, Rússia |

1969-1983 | Professor Associado, part-time | Universidade Estatal de Novossibrsk, Novossibirsk, Rússia |

1968-1969 | Professor Auxiliar, part-time | Universidade estatal de Novossibirsk, Rússia |

1968-1976 | Investigador principal do Departamento Teorético | Instituto da Hidrodinâmica, Academia de Ciências da RF, Novossibirsk |

1995-presente | Professor Catedrático Visitante | Universidade da Beira Interior, Covilhã , Portugal |

1976-1995 | Director do Departamento de. Filtração | Instituto da Hidrodinâmica, AcademiaD |

## Area of scientific activity

Area of scientific activity

Equações não lineares com derivadas parciais e as suas aplicações na mecânica dos meios conínuos.

Modelos matemáticos da hidrodinâmica e da filtração, incluindo de liqidos não-Newtonianos.

Problemas com fronteiras livres nos meios contínuos.

Equações com exponentes de não-lineridade variaveis.

Specialization domain

Sistemas de equações diferenciais equações elípticas e parabólicas e de tipo mixto com derivadas parciais quais surgem na mecânica contínua. Existência e unicidade de soluções. Análise das propriedades qualitativas destas soluções, tais que a localização temporal e espacial.

Current main scientific area

Equações elípticas e parabólicas com expoentes variáveis da degeneração, propriedades das soluções e aplicação na mecânica contínua.

Other scientific activities

Efeitos de localização temporal e espacial das soluções de sistemas de tipo mixto, incluindo as equações de tipo de Navier-Stokes.

## Experience as scientific advisor

Orientador de 10 teses de doutoramento defendidos e 2 em preparação e 31 teses de mestrado defendidos.

## Participations in R&D projects

1. Project "Parabolic PDEs with variable nonlinearity: Existence and qualitative properties of solutions". "Science Without Borders" program of CAPES, Brasil, MEC/MCTI/CAPES/CNPq/FAPs-Nº71/2013. The period of the project 01.03.2014-03.04.2017. Researcher.

2. Project PTDC/MAT/110613/2009, (01.02.2011-31.01.2014), FCT, Portugal. Nonlinear Hyperbolic Systems: Theory and Numerical approximation. Principal researcher.

3. Project MTM2011-26119 of the Ministerio de Ciencia e Innovacion, Spain, (2011-2014), Modelization, Analises y Control de EDPs.. Researcher.

4. Project MTM2008-06208 of the Ministerio de Ciencia e Innovacion, Spain, (2008-2011), Ecuaciones en Derivadas Parciales en Ciencia y Tecnologia. Researcher.

5. GRICES (Gabinete de Relações Internacionais da Ciência e do Ensino Superior), Portugal, Equações de Euler e problemas relacionadas. 2008-2010. Researcher.

6. Project FCT-POCI/MAT/61576/2004, (2005-2008), Portugal. Variable Exponents of Nonlinearity in Fluid Dynamics. Principal researcher.

7. DECONT: Differential equations of continuum mechanics: solvability and localization effects, numerical methods, Project FCT, Mathematical Center of the University of Beira Interior, 2003-2007, Portugal. Principal researcher.

8. Project FCT-POCTI/34471/MAT/2000, Non-linear PDEs and Free Boundary Problems, Portugal, Researcher.

9. Project PRAXIS /2/2.1/MAT/53/94. Modelos Matemáticos de Sistemas com Fronteiras Livres, (1996-2000), Portugal, Researcher.

10. INTAS-94-2187, Researcher.

## Awards

Year | Award | Awarding entity |
---|---|---|

1993 | III Prémio do concurso ciêntifo | Academia de Ciências da Rússia, Secção da Sibéria |

1986 | Ordem da Amizade dos Povos | Presidium do Soviete Supremo da URSS |

1977 | Diploma de honra | Presidium da Academia de Ciências da URSS |

1974 | Diploma de honra | Presidium da Academia de Ciências da URSS |

## Publications

Livros (autor)

- 1. Boundary Value Problems in Mechanics of Nonhomogeneous Fluids. Nauka, Sibirsk., Otdel., Novosibirsk, 1983, 320 pp., (Russian ), (English transl. in Studies in Mathematics and its Applications, 22, North Holland, 1990, 309 pp., (em co-autoria com Kazhikhov A.V., Monakhov V.N.).<br>

Livros (autor)

- 2. Localization of Solutions of Degenerate Equations of Continuum Mechanics. Akad. Nauk SSSR, Sibirsk. Otdel. Inst. Gidrodinamiki, Novosibirsk, 1986, 109 pp., (Russian).<br>

Livros (autor)

- 3. Mathematical System Modelling of Water Exchange Processes. (Sistemnoe matematicheskoe modelirovanie protsessov vodoobmena). Nauka, Sibirsk. Otdel., Novosibirsk, 1986, 216 pp., (em co-autoria com Epikhov G.P., Kashevarov A.A.),(Russian). <br>

Livros (autor)

- 4. Filtration in By-Well Zone of the Formation and Well Productivity Stimulation Problems. Akad. Nauk SSSR., Sibirsk., Otdel., Inst., Hydrodynamics, Novosibirsk, 1989, 109 pp., (em co-autoria com Domanski A.V., Penkovski V.I.), (Russian).<br>

Livros (autor)

- 5. Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics.Birkhäuser Boston, 2002, ISBN 0-8176-4123-8, 330 pp., (em co-autoria com J.I.Dias, Shmarev S.I.).

6. Antontsev S.N., Shmarev S.I., Evolution PDEs with nonstandard growth conditions. Existence, Uniqueness, Localization, Blow-up. Series: Atlantis Studies in Differential Equations, Vol. 4, 2015, XIV, 393 p. 1 illus. ISBN 978-94-6239-111-6.

Livros (editor)

- 1. Free Boundary Problems in Continuum Mechanics. Proceedings of International conference on free boundary problems in continuum mechanics. Novosibirsk, Rússia, July 15-19, 1991. Basel/Birkhauser, ISNM, International Series of Numerical Mathematics, Vol.106, (1992), (Edited by S.N. Antontsev, K.H. Hoffmann and A.M. Khludnev). <br><br>

Livros (editor)

- 2. Energy Methods in Continuum Mechanics. Proceedings of the workshop on energy methods for free boundary problems in continuum mechanics, Oviedo, Spain, March 21-23, 1994, Dordrecht/ Kluwer Academic Publishers, (1996), (Edited by S.N. Antontsev, J.I.Diaz and S.I.Shmarev ).<br> <br>

Artigos em revistas de circulação internacional com arbitragem científica

Artigos em revistas de circulação internacional com arbitragem científica

Artigos em revistas de circulação internacional com arbitragem científica

Artigos em revistas de circulação internacional com arbitragem científica

- <br>

Artigos em revistas de circulação internacional com arbitragem científica

Artigos em revistas de circulação internacional com arbitragem científica

Artigos em revistas de circulação internacional com arbitragem científica

- <br>

Artigos em revistas de circulação internacional com arbitragem científica

Artigos em revistas de circulação internacional com arbitragem científica

Artigos em revistas de circulação internacional com arbitragem científica

Artigos em revistas de circulação internacional com arbitragem científica

Artigos em revistas de circulação internacional com arbitragem científica

Artigos em revistas de circulação internacional com arbitragem científica

Livros (editor)

- ::::::::::::::::::::<br>3. Book "Boundary Value Problems with Free Boundaries for Elliptic Systems of Equations", Trans. Am. Math. Soc. Trans. of Math. Monografs, vol.57, 1983,650 p.( the author Monakhov V.N., edited by Antontsev S.N.)<br>::::::::::::::::::::::::<br>4. Scientific Journal “Dynamics of Continuous Media´´ (Dinamika sploshnoi sredy), Lavrentiev’s Institute of Hydrodynamics, Novosibirsk, (1969-1992), member of Editorial Board. (Russian). <br>::::::::::::::::::::::::::::::::::::::::::::::::::::<br><br>5. Book ´´Meliorative and water economic problems of Siberia´´, (Meliorativnye I Vodokhoziaistvennye Problemy Sibiri : Sbornik Nauchnykh Trudov )<br> Novosibirsk,(1989) (Edited by Antontsev S.N., P. Ya. Kochina, Vasiliev O.F.), (Russian). <br><br><br><br>

Artigos em revistas de circulação internacional com arbitragem científica

- <br> <br>

Artigos em revistas de circulação internacional com arbitragem científica

- Tem mais 156 artigos em revistas científicas internacionais (de accordo com AMS, MahtScinet) que se citam 989 vezes por 633 autores.

Artigos recentes (a partir de 2005):

1. Antontsev S, Kh. Khompysh, Kelvin-Voight equation with p-Laplacian and damping term: Existence, uniqueness and blow- up . Mathematical Analysis and Applications, 446(2017), pp.1255-1273.

2. Antontsev, Stanislav N.; Almeida, Rui M. P.; Duque, José C. M.; On the finite element method for a nonlocal degenerate parabolic problem. Comput. Math. Appl. 73 (2017), no. 8, 1724–1740.

3. Antontsev, S. , Almeida, R. M. P., Duque, J. Discrete solutions for the porous medium equation with absorption and variable exponents, Mathematics and Computers in Simulation, Vol. 137, 2017, 109--129.

4. Antontsev S., Shmarev S., On a class of fully nonlinear parabolic equations. Adv. Nonlinear Anal,.2016 , Published Online: 2016-11-23 | DOI: https://doi.org/10.1515/anona-2016-0055 (IF:1.218)

5. Antontsev S, Diaz J.I., Finite speed of propagation and waiting time for local solutions of degenerate equations in viscoelastic media or heat flows with memory, J. Elliptic and Parabolic Equations, Ortogonal, JEPE , Volume 2, Issue 1, 2016, p. 207-216.

6. Antontsev S, Kuznetsov I.V., Singular perturbation of forward-backward p-parabolic equations, J. Elliptic and Parabolic Equations, Ortogonal, JEPE , Vol 2, Issue 1, 2016, p. 357-370.

7. Antontsev S., Shmarev S., On the localization of solutions of doubly nonlinear parabolic equations with nonstandard growth in filtration theory, Applicable Analysis, 95(2016), no.10, pp.2162-2180.

8. Antontsev, S. N. and de Oliveira, H. B., Evolution problems of Navier-- Stokes type with anisotropic diffusion, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM, Revista de la Real Academia de Ciencias Exactas, Fi sicas y Naturales. Serie A. Matematicas. RACSAM, Vol.110 (2016), Num. 2, 729--754, RNF-15-11-20019. , First online: 17 December 2015, pp.1-26.

9. Antontsev S.N., Almeida R.M.P and Duque J.C.M., On a nonlocal degenerate parabolic problem, Nonlinear analysis: Real World Applications 27(2016), 146-157. (IF:2.322).

10. Antontsev Stanislav; Shmarev, Sergey; Simsen, Jacson; Simsen, Mariza S.; On the evolution p -Laplacian with nonlocal memory. Nonlinear Anal. 134 (2016), 31–54. (IF:1.579), RNF-15-11-20019. CMAF-CIO, HSU,IGIL.

11. Antontsev S., H.B.de Oliveira, Analysis of the existence for the steady Navier- Stokes equations with anisotropic diffusion, Advances in Differential Equations, Volume 19, Numbers 5-6(2014), 441-472.

12. Antontsev S., Ferreira J., On a viscoelastic plate equation with strong damping and p(x,t)- Laplacian. Existence and uniqueness. Diff. Integral Equations, Vol. 27, Numbers 11-12(2014), 1147-1170.

13. Antontsev S.N., Shmarev S, Doubly Degenerate Parabolic Equations with Variable Nonlinearity II: Blow-up and Extinction in a Finite Time, Nonlinear Analysis: Theory, Methods and Applications, 95 (2014), 483-498. (IF:1.64).

14. Antontsev S., Dias J. P. and Figueira M., Complex Ginzburg-Landau equation with absorption: existence, uniqueness and localization properties, J. Math. Fluid Mechanics, Vol. 16, No. 2(2014), pp.211-223. (IF:1.42).

15. Antontsev, S. N.; de Oliveira, H. B. Asymptotic behavior of trembling fluids. Nonlinear Anal. Real World Appl. 19 (2014), 54–66. (IF:2.201).

16. Antontsev, S. N., Duque, J. C. M.; Almeida, R. M. P. Numerical study of the porous medium equation with absorption, variable exponents of nonlinearity and free boundary. Appl. Math. Comput. 235 (2014), 137–147. (IF:1.349).

17. Antontsev S., Almeida R. and Duque J., Convergence of the finite element method for the porous media equation with variable exponent, SIAM J. Numer Anal., 51(6), 2013, 3483-3504. (IF:1.48).

18. Antontsev S., Amorim P., Young measure solutions for wave equation with p(x,t)-Laplacian: Existence and blow up, Nonlinear Analysis: Theory, Methods and Applications, 92(2013), pp.153-167. (IF:1.64).

19. Antontsev S., Ferreira J., Existence, uniqueness and blow up for hyperbolic equations with nonstandard growth conditions, Nonlinear Analysis Series A: Theory, Methods & Applications, 93(2013), pp.62-77. (IF:1.64).

20. Antontsev S. N., Chipot M. and Shmarev S., Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions, Special issue of the journal "Communications on Pure and Applied Analysis" dedicated to the memory of Prof. I.V. Skrypnik, Volume 12, Number 4, July 2013, p. 1- 22, (IF:0.92). Accession Number: WOS:000313274100002

21. Antontsev S.N., Shmarev S, Doubly Degenerate Parabolic Equations with Variable Nonlinearity I: Existence of Bounded Strong Solutions, Advances in Differential Equations, Volume 17, Numbers 11-12, November/December 2012, 1181-1212.

22. Antontsev S., Shmarev S., Energy Solutions of Evolution Equations with Nonstandard Growth Conditions, Monografias de la Real Academia de Ciencias de Zaragoza, 38(2012), 85-111.

23. Antontsev S., Miranda F., Santos L., A class of electromagnetic p-curl systems: blow-up and finite time extinction, Nonlinear Analysis: Theory, Methods, Applications, 75(2012), pp.3916-3929, (IF(5-Year):1.579).

24. Antontsev S, Amaziane B, Pankratov L., Time of complete displacement of an immiscible compressible fluid by water in porous media: Application to gas migration in a deep nuclear waste repository, Nonlinear Analysis: Real World Applications, (2012), Volume 13, Issue 5, October 2012, Pages 2144-2153,. IF: 2.138.

25. Antontsev S., Shmarev S., Existence and uniqueness for doubly nonlinear parabolic equations with non-standard growth conditions, Differential Equations and Applications,Vol. 4, Issue1(2012), pp. 67-94.

26. Antontsev S., Wave equation with p(x,t)-Laplacian and damping term: Blow-up of solutions, C.R. Mecanique, Vol.339, Issue 12 (2011), pp.751-755. IF:0.67

27. Antontsev S., Wave equation with p(x,t)-Laplacian and damping term: Existence and Blow up, Differential Equations and Applications, Vol. 3, Issue 4(2011), pp. 503-525.

28. Antontsev S., Shmarev S., Elliptic equations with triple variable nonlinearity, Journal Complex Variables and Elliptic Equations, Vol. 56, Issue 7—9, Jul. 2011, pp. 573--597. IF:0.5

29. Antontsev S., Yu. Alkhutov, R. Gilbert, A.Pankov and V. Radulescu, Preface. Journal Complex Variables and Elliptic Equations, Vol. 56, Issue 7—9, July 2011, pp. 543--544. IF:0.

30. Antontsev S.N., H.B. de Oliveira, The Oberbeck - Boussinesq problem modified by a thermo-absorption, Journal of Mathematical Analysis and Applications, Volume 379, Issue 2, 15 July 2011, Pages 802-817. (IF:1.345).

31. Antontsev S., J. P. Dias, M. Figueira and F. Oliveira, Non-Existence of Global Solutions For a Quasilinear Benney System, Journal of Mathematical Fluid Mechanics: Volume 13, Issue 2 (2011), 213-222, (IF:1.42).

22. Antontsev S., J. P. Dias, M. Figueira and F. Oliveira, Erratum to: Non-existence of global solutions for a quasilinear Benney system , Journal of Mathematical Fluid Mechanics, Volume13, Issue 2(2011), 307, (IF:1.42).

33. Antontsev S.N., Shmarev S.I., Parabolic equations with double variable nonlinearities, Mathematics and Computers in Simulation, 81(2011), 2018-2032, (IF:0.946).

34. Antontsev S., Amaziane B., Pankratov L., and Piatniski A.., Homogenization of Immiscible Two-Phase Flow in Porous Media: Application to Gas Migration in a Nuclear Waste Repository, SIAM, Multiscale Model. Simul., Volume 8, Issue 5, (2010), pp. 2023-2047, (IF: 2.2).

35. Antontsev S., H.B. de Oliveira, The Navier- Stokes problem modified by an absorption term, Applicable Analysis: An International Journal, 1563-504X, First published on 16 September 2010, 1-20, (IF: 0.613).

36. Antontsev S., Diaz J.I., New L1 –gradient type estimates of solutions to one-dimensional quasilinear parabolic systems, Communication in Contemporary Mathematics(CCM), Vol. 12, Issue 1(2010), 85-106, (IF:0.836).

37. Antontsev S.N., Shmarev S.I., Vanishing solutions of anisotropic parabolic equations with variable nonlinearity, Journal of Mathematical Analysis and Applications, 361(2010), 371-391, (IF:1.225).

38. Antontsev S.N., Shmarev S.I., Blow-up of solutions to parabolic equations with non-standard growth conditions, Journal of Computational and Applied Mathematics, 234(2010), 2633-2645 , (IF:1.292).

39. Antontsev S.N., Shmarev S.I., On the Blow-up of Solutions to Anisotropic Parabolic Equations with Variable Nonlinearity, Proceedings of the Steklov Institute of Mathematics, Vol. 270, 2010, pp. 27-42.

40. Antontsev S.N., Consiglieri L., Variable exponents on elliptic problems with nonstandard boundary conditions, Nonlinear Anal., Theory, Methods, Applications, 71 (2009), 891-902, (IF:1.579).

41. Antontsev S.N., Chemetov N.V., Superconducting Vortices: Chapman Full Model, Advances in Mathematical Fluid Mechanics, New Directions in Mathematical Fluid Mechanics, The Alexander V. Kazhikhov Memorial Volume, (Fursikov A.V., Galdi G.P., Pukhnachev V.V. EDS), (2009), 41-55. IF:1.42

42. Antontsev S.N., Díaz J.I., On gradient estimates and other qualitative properties of solutions of nonlinear non autonomous parabolic systems, RACSAM, Rev. R. Acad. Cien. Serie A. Mat, vol.103 (1), (2009), 201-214.

433. Antontsev S., Amaziane B., Pankratov L., Piatniski A., Homogenization of p-Laplacian in perforated domain, Ann.I.H. Poincare-AN 26 (2009), 2457-2479. IF:1.572

44. Antontsev S.N., Gagneux G., Mokrani A., Vallet G., Stratigraphic modelling by the way of a pseudoparabolic problem with constraint, Advances in Mathematical Sciences and Applications, Number 1, Vol. 19 (2009),195-209.

435. Antontsev S.N., Shmarev S.I., Anisotropic parabolic equations with variable nonlinearity, Publicacions Matematiques de l'Universitat Autónoma de Barcelona, 53(2), (2009), 355-399. IF:0.85

46. Antontsev S.N., Shmarev S.I., Localization of solutions of anisotropic parabolic equations, Nonlinear Anal., Theory, Methods, Applications, 71(2009), e725-e737. IF:1.42

47. Antontsev, S. N., Alkhutov, Yu.A. and Zhikov, V.V., Parabolic equations with variable order of nonlinearity, The collection of works of Institute of mathematics NAS of Ukraine, Vol. 6, Nu. 1, (2009), 23--50. ( ??i???? ????? I???????? ?????????? ??? ???????. 2009. ?. 6. N. 1).

48. Antontsev S.N., Díaz J.I., On the coupling between channel level and surface ground- water flows, Journal Pure and Applied Geophysics, 165(8), (2008), 1511-1530, (IF:0.938).

49. Antontsev S.N., Amaziane B., Pankratov L., Piatnitski A., ?-convergence and homogenization of functionals in Sobolev spaces with variable exponents, Journal of Mathematical Analysis and Applications, Issue 2, Vol. 342 (2008), 1192-1202. (IF:1.345).

50. Antontsev S.N., Oliveira H.B., Qualitative properties of the ice-thickness in a 3D model, WSEAS Transactions on Mathematics,Vol. 7, Issue 3, March 2008, 78-86.

51. Antontsev S.N., Chipot M., Anisotropic equations: uniqueness and existence results, Differential and Integral Equations, Vol. 21, Numbers 5-6 (2008), 401-419.

52. Antontsev S.N., Díaz J.I., Mathematical treatment of the discharge of a laminar hot gas in a stagnant colder atmosphere, Journal of Applied Mechanics and Technical Physics., Vol. 49. N. 4 (2008), pp. 681-692, (Translated from Prikladnaya Mekhanica i Tekhnicheskaya Fizika , Vol. 49. N. 4 (2008), pp.192-205). IF:0.253

53. Antontsev S.N., Chemetov N.V., Euler equations with non-homogeneous Navier slip boundary condition, Journal Physica D: Nonlinear Phenomena, Vol. 237, no. 1, (2008), 92-105, (IF:1.568).

54. Antontsev S.N., Shmarev S.I., Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity, Journal of Mathematical Sciences , Volume 150, Number 5 / May, (2008), 2289-2301.

55. Antontsev S.N., Shmarev S.I., Extinction of Solutions of Parabolic Equations with Variable Anisotropic Nonlinearities, Proceedings of the Steklov Institute of Mathematics, Moscow, Russia, Volume 261, Number 1/July (2008), 11-21, Pleiades Publishing, Ltd.

56. Antontsev S.N., Chemetov N.V., Flux of superconducting vortices through a domain, SIAM Journal on Mathematical Analysis, Issue 1, Vol. 39 (2007), 263-280. (IF:1.53).

57. Antontsev S.N., Amaziane B., Pankratov L., Homogenization of a class of nonlinear elliptic equations with non-standard growth, Comptes rendus de l'Académie des sciences, Mécanique, Paris, Issue 3, Vol.335(2007), 138-143.

58. Antontsev S.N., Chipot M., Xie Y., Uniqueness results for equations of the p(x)- Laplacian type, Advances in Mathematical Sciences and Applications, Volume 17, Nu.1 ( 2007), pp. 287-304.

59. Antontsev S.N., Díaz J.I., Mathematical analysis of the discharge of a laminar hot gas in a colder atmosphere, RACSAM, Rev. R. Acad. Cien. Serie A. Mat, vol.101 (1), (2007), pp.119-124.

60. Antontsev S.N., Shmarev S.I., Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity. Fundamental and Applied Mathematics, Vol.12, no.4, (2006), 3-19.

61. Antontsev S.N., G. Gagneux, R. Luce, G. Vallet, New unilateral problems in stratigraphy, ESAIM: Mathematical Modelling and Numerical Analysis, Vol.40, No. 4(2006), 765-784. IF:1.031

62. Antontsev S.N., G. Gagneux, R. Luce, G. Vallet, On a pseudoparabolic problem with constraint, Differential and Integral Equations, Vol.19, Num.12 (2006), 1391-1412.

63. Antontsev S.N., Shmarev S.I., Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions. J. Nonlinear Analysis, 65(2006), 728-761. IF:1.64

64. Antontsev S.N., Gagneux G., Luce R., Vallet G., A non standard free boundary problem arising from stratigraphy. Analysis and Applications (Singap), 4 (2006), no.3, 209--236.

65. Antontsev S.N., Rodrigues J.F., On stationary thermo-rheological viscous flows. Annali Dell’ Università di Ferrara, Sezione VII, Sci. Mat. 52 (2006), no.1, 19--36.

66. Antontsev S.N., Shmarev S.I., On localization of solutions of elliptic equations with nonhomogeneous anisotropic degeneracy. Siberian Mathematical Journal, Vol. 46, N. 5, (2005), 765-782. IF:0.285

67. Antontsev S.N., Zhikov V.V., Higher integrability for parabolic equations of p(x,t)-Laplacian type. Advances in Differential Equations, Vol. 10, Number 9 (2005), 1053-1080.

68. Antontsev S.N., Shmarev S. I., A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions. Journal of Nonlinear Analysis, 60, (2005), no.3, 515-545. IF:1.64

## Communications

Comunicações orais por convite

A partir de ano 2000 participou nas 20 conferencias internacionais com comunicações orais e como o membro da comissão organizadora.

Comunicações orais por convite

1. III-th International Conference \'\' Lavrentiev Readings on Mathematics, Mechanics and Physics\'\', Novosibirsk, September 10-14, 1990. The talk \'\'Energy Method of Space-Time Localization of Solutions of Nonlinear Equations in Continuum Mechanics\'\' was presented (jointly with J.I. Diaz).<br><br>2. International Conference \'\'Free-Boundary Problems in Continuum Mechanics\'\', July 15-19, 1991, Novosibirsk, USSR. The talk \'\'New Results on the Character of Localization of Solutions for Parabolic Equations\'\' was presented (jointly with S.I. Shmarev and J.I. Diaz).<br><br>3. III Congreso de Matemática Aplicada. XIII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones, Madrid, Universidad Politécnica de Madrid, 1993. The talk \'\'Localization of solution for a problem of mass transport through porous media\'\' was presented.<br><br>4. International Conference \'\'Elliptic and parabolic problems, Pont-à-Mousson, 1994, France. The talk \'\'The Support Shrinking in Solutions of Parabolic Equations with Non-Homogeneous Absorption Terms” was presented. <br><br>5. International Conference \'\'Energy Methods in Continuum Mechanics\'\', Oviedo, Spain, 1994. The talk \'\'Energy Methods in Continuum Mechanics\'\' was presented. <br><br>6. IV International Conference \'\'Lavrent\'ev Readings on Mathematics, Mechanics and Physics\'\' Kazan, 3-7 July, 1995. The talk \'\'Parabolic Equations with Non-isotropic Nonlinearities: Space and Time Localization\'\' was presented. <br><br>7. International Conference \'\' Advanced Mathematics, Computations and Applications, AMCA-95, Novosibirsk, June 20-24, 1995. The talk \'\'Analysis of Blow up for the Thermistor Problem\'\' was presented. (jointly with M.Chipot). <br><br>8. Jornada de Matemática da Universidade do Minho, Braga, Portugal, March 9, 1996. The talk \'\'Método energético: localização de correntes de líquidos não Newtonianos \'\' (Energy method: localization of the flows of non-Newtonian liquids) was presented.<br><br>9. International Conference \'\'Third European Conference on Elliptic and Parabolic Problems\'\', France, Pont-à-Mousson, June 16-20,1997. The talk \'\'Small parameters in problems of filtration of two immiscible fluids\'\' was presented (jointly with G.Gagneux). <br><br>10. International Conference \'\'Free Boundary Problems, Theory and Applications\'\', Heraklion, Crete, Greece, 8-14 June, 1997. The talk \'\'Small parameters in problems of filtration of two immiscible fluids\'\' was presented (jointly with G.Gagneux). <br><br>11. International Conference \'\'Nonlinear Partial Differential Equations\'\', Kiev, Ukraine, August 26-30, 1997. The talk \'\'Solutions localization of nonlinear parabolic equations with degeneracy on a surface\'\' was presented (jointly with A.A. Kashevarov). <br><br>12. National conference \'\'Sociedade Portuguesa de Matemática. Encontro Nacional\'\', Braga, Portugal, 9-12 de Fevereiro, 1998. The talk \'\'Solutions localization of nonlinear parabolic equations with degeneracy on a surface\'\' was presented. <br><br>13. International Conference \'\'Mathematics in Applications\'\' honoring academician S. K. Godunov. Sobolev Institute of Mathematics, Novosibirsk, Russia, August 25-28, 1999. The talk \'\'Smooth interface in a two-component Stokes flow\'\' was presented (jointly with A.Meirmanov and V.Yurinsky).<br><br>14. International Conference \'\'Modern Approaches to flows in porous media\'\' dedicated to P.Y. Polubarinova - Kochina (1899-1999), Moscow, 6-8 September, 1999. The talks:<br> a). \'\'Small parameters in problems of filtration of two immiscible <br> fluids\'\' (jointly with G. Gagneux), <br> b). \'Hele-Shaw flow in two dimensions: global-in-time classical <br> solutions\'\' (jointly with A. Meirmanov and V. Yurinsky), <br> c).\'\'Mathematical models of mass transfer in interconnected <br> processes of surface, soil and ground waters\'\' (jointly with A.<br> Kashevarov), were presented. <br><br>15. International Conference \'\'Lavrentyev Readings on Mathematics, Mechanics and Physics\'\', September 18-22, 2000, Novosibirsk, Russia. The talk \'\'Mathematical Models with Free Boundaries in Filtration Theory\'\' was presented (jointly with A. Meirmanov and V. Yurinsky). <br><br>16. International Conference \'\'Nonlinear Partial Differential Equations\'\', Kiev, Ukraine, 22-28 August 2001. The talk \'\' Small parameters in problems of filtration of two immiscible fluids\'\' was presented (jointly with G. Gagneux). <br><br>17. National Conference \'\'Engenharia 2001-Inovação e Desenvolvimento\'\', Covilhã, Portugal, 5-6 de Novembro, 2001. The talk \'\'Mathematical models of hydrological cycle\'\' was presented.<br><br>18. International Conference \'\'Regularity in partial Differential equations\'\', Lisboa, Portugal, November 8-10, 2001. The talk \'\'Small parameters in problems of filtration of two immiscible fluids\'\' was presented (jointly with G.Gagneux). <br><br>19. International Conference \'\'Factorization, singular operators and related problems\'\', Portugal , Madeira, January 28-February 1, 2002. The talk \'\'Vekua type operators in space Lp(Ω), p 2\'\' was presented. <br><br>20. International Conference \'\'Ill-posed and inverse problems\'\' dedicated to Prof. M.M.Lavrentiev on the occasion of his 70th anniversary, August 5-9, 2002, Russia, Novosibirsk. The talk \'\'On some stratigraphic control problems\'\' (jointly with G.Gagneux and G.Vallet) was presented.<br><br>21. Russian National Conference \'\'Mathematical methods in ecology and in mechanics of natural environments\'\', August 8-13, 2002, Russia, Barnaul. The talk "On some stratigraphic control problems" was presented.<br><br>22. Trends in partial differential equations of mathematical physics, On the occasion of the 70th birthday of Vsevolod A. Solonnikov, 7-10 June 2003, Òbidos, Portugal. The talk \'\'Stopping a viscous fluid by a feedback dissipative external field: Navier-Stokes equations\'\' was presented.<br><br>23. International workshop on potential theory and free boundary flows, Ukraine,Kiev, 19-27 August 2003. The talk \'\'Stopping a viscous fluid by a feedback dissipative field: Navier-Stokes problem\'\'. (jointly with H.B. de Oliveira) was presented. <br><br>24. International conference \'\'Nonlinear Partial Differential Equations\'\', Ukraine, Alushta, September 15-21, 2003. The talks: <br> a).\'\'Nonlinear parabolic equations with a variable exponent <br> of degeneration\'\', <br> b). \'\'Stopping a viscous fluid by a feedback dissipative <br> field: Stationary Navier-Stokes problem\'\' (jointly with H.B. <br> de Oliveira) were presented. <br><br>25. Encontro Nacional da Sociedade Portuguesa de Matemática, Porto, 5-8 May, 2004. The talk "Equações parabólicas não lineares com expoentes variáveis de generação\'\' was presented.<br><br>26. International Conference “Differential equations and related topics” dedicated to Ivan G. Petrovskii, May 16-22, 2004, Moscow, (2004). The talk “Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity”, (jointly with Shmarev S.I.) was presented.<br><br>27. International Conference “Lavrentiev readings on mathematics, mechanics and physics”, dedicated to the 105th anniversary of academician M.A. Lavrentiev, May 27-31, 2005, Novosibirsk, Russia. The talk “Parabolic equations with variable exponents of nonlinearity: existence, uniqueness and localization properties of solutions” was presented (jointly with Shmarev S.I.).<br><br>28. International Conference “Free Boundary Problems: Theory and Applications”, 7-12 June, 2005, Coimbra, Portugal. The talk “Elliptic and parabolic equations with variable exponents of nonlinearity: existence, uniqueness and localization properties of solutions” was presented. Program and abstracts, p.12-13, (jointly with Shmarev S.I.).<br><br>29. International Conference “ISAAC - International Society for Analysis, its Applications and Computations”, July 25-31, 2005, Catania, Italy. The talks: a).“Weak solutions for a well-posed Hele-Shaw problem”, (jointly with A. Meirmanov, V. Yurinsky ), b). “Elliptic equations with nonstandard growth conditions: existence, uniqueness and localizations properties of solutions”) (jointly with S. Shmarev), were presented.<br><br>30. Conference “Frontiers of Apllied Analysis”, September 8-10, 2005, Carnegie Mellon University, Pittsburgh, PA, USA. The talk” Parabolic equations with anisotropic non-uniform degeneration” was presented. Program and abstracts, p.5, (jointly with S. Shmarev).<br><br>31. National conference \'\'Engenharia 2005-Inovação e Desenvolvimento\'\', Covilhã, Portugal, November , 2005. The talk \'\' Possíveis Aplicações de Problemas com Fronteiras Livres para a Célula de Hele-Shaw à Engenharia\'\' was presented (joint with C. Gonçalves, A. Meirmanov).<br><br>32. International conference “Tikhonov and Contemporary Mathematics”, Moscow State University, Moscow, Russia, 19-25 June, 2006. The talks: 1. “Elliptic equations with anisotropic nonstandard growth conditions”, 2, “Weather limited constraint in stratigraphy”, (joint with G.Gerard, R. Luce, G. Vallet), were presented. <br><br>33. International conference on Differential Equations and Dynamical Systems”, Suzdal, Russia, 10-15 July, 2006, The talk “ Parabolic equations with anisotropic non-uniform degeneracy” was presented. <br><br>34. International conference of Applied Mathematics and Computing, Bulgaria, Plovdiv, August 12-18, 2006. The talk “Parabolic equations with anisotropic non-uniform degeneracy” was presented. <br><br>35. International seminar “Earth sciences and mathematics”, University Complutense of Madrid, Spain, 13-15 September, 2006. The talks: 1.“Mathematical models of Hydrological cycle”, 2. “A pseudoparabolic problem with constraint in stratigraphy” were presented.<br><br>36. International Conference “Differential Equations and Related Topics”, XXII joint session of Moscow Mathematical Society and I.G. Petrovskii seminar, Moscow, May 21-26, 2007, The talk Mathematical analysis of the discharge of a hot gas in a colder atmosphere, (joint with J.I.Diaz), was presented.<br><br>37. The International Conference “Differential Equations, Theory of Functions and Applications” dedicated to the Centennial of Academician Ilia N. Vekua, Novosibirsk, Russia, May 28-June 2, 2007. The talk “Elliptic equations with variable anisotropic nonlinearities”, (joint with S.Shmarev), was presented. <br><br>38. Congresso Métodos Numéricos e Computacionais em Engenharia, CMNE CILAMCE, Porto, Portugal, 13-15 de Junho, 2007. The talks: a) Mathematical models of hydrological cycle: channel level and surface ground water flows (joint with J.I. Díaz), b) Mathematical models in dynamics of non-Newtonian fluids and in glaciology (joint with J.I. Díaz, H.B. Oliveira) were presented.<br><br>39. International Conference in Ukraine, Lyapunov Memorial Conference, 24-30 June, 2007. The talk “Euler equation with non-homogeneous Navier slip boundary condition”, was presented (joint with Chemetov N.V). <br><br>40. Fourth International Conference of Applied Mathematics and Computing, August 12-18, 2007. Plovdiv, Bulgaria. The member of the Organizing Committee. The talks:<br> a). Interfaces generated by discharge of a hot gas in a cold atmosphere (joint with Díaz J.I.), <br>b). Parabolic equations with variable and anisotropic nonlinearity (joint with Shmarev S.),<br> c). Euler equations with non-homogeneous Navier slip boundary condition (joint with Chemetov N.) were presented. <br><br>41. All-Russian Conference “Problems of continuum mechanics and physics of of detonation”, Novosibirsk, Russia, September 17-22, 2007. The talk “Mathematical analysis of the discharge of a laminar hot gas in a cold atmosphere” was presented (joint with J.I.Diaz).<br> <br>42. International seminar, “Non linear and non local problems: from the theory to the applications”, Iniversity Complutense of Madrid, Madrid, Spain, February 6-8, 2008. The talk “Finite speed of propagation for non local viscoelastic medium” was presented.<br><br>43. International Conference Differential Equations and Dynamical Systems, Suzdal, 27 June - 2 July, 2008. Invited speaker. Plenary talk “Elliptic and Parabolic Equations with Nonstandard Growth Conditions” was presented.<br><br>44. World Congress of Nonlinear Analysts, July 2-July 9, 2008, Florida, USA. Invited speaker. Plenary invited talk “Anisotropic parabolic equations with variable nonlinearity. Existence, uniqueness, localization” was presented. (joint with S. Shmarev).<br><br>45. International Conference Parabolic and Navier-Stokes Equations 2008 in honour of V.A. Solonnikov, Poland, Będlewo, August 31-September 6, 2008. The talk “Parabolic Equations in Sobolev –Orlicz Spaces: Existence, Uniqueness and Localization Properties” was presented. (joint with S. Shmarev).<br><br>46. Third International Workshop on Analysis and Numerical Approximation of Singular Problems, Ericeira, Portugal, 10-12 Setember, 2008. Invited speaker with talk “Elliptic and Parabolic Equations with Nonstandard Growth Conditions”. <br><br>47. International Conference “Differential Equations. Function Space. Approximation Theory ” dedicated to the 100th anniversary of the birthday of Sergei L. Sobolev, Novosibirsk, Russia, October 5-12, 2008. Invited speaker with talk “Elliptic and Parabolic Equations with Nonstandard Growth Conditions” (joint with S. Shmarev).<br><br><br>

Comunicações orais por convite

49. Congreso de la Real Sociedad Matemática Española, 2009, Oviedo, 4-7 de Febrero, p.62. The talk “Existence, localization and blow up of solutions to parabolic equations with nonstandard conditions” was presented.

50. The International Conference “Modern problems of mathematics, mechanics and their applications”. Russia, Moscow, March 30 – April 02, 2009. The talks. 1. “Localization and blow up for parabolic equations with nonstandard growth conditions “ (joint with S. Shmarev), 2. L1 gradient estimates for solutions of some one – dimensional quasilinear parabolic equations” (joint with J.I. Diaz) were presented.

51. All - Russian Conference “ New mathematical models of continuum mechanics: construction and study “, Russia, Novosibirsk, 23-28, April, 2009. The talk “On flux of superconductivity vortices through a domain” (joint with Chemetov N.) was presented.

52. 3rd International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources, MAMERN 2009, June 8-11, 2009 PAU,FRANCE. The talks :1. Localization and blow - up of solutions to parabolic equations with nonstandard growth conditions (joint with S. Shmarev), 2. On a doubly nonlinear parabolic equation with nonstandard growth conditions (joint with S. Shmarev) were presented.

53. International Conference “Modern Problems of Applied Mathematics and Mechanics: Theory, Experiment and Applications” devoted to the 90th anniversary of Prof. N.N Yanenko, Novosibirsk, Russia, May 30-June 04, 2011. The talk “Wave Equation with p(x,t)- Laplacian and Damping Term: Existence and Blow-up” was presented.

54. An international congress on occasion of J.I. Diaz´s 60th birthday, Nonlinear Models in Partial Differential Equations, Toledo, Spain, June 14-17, 2011. Invited speaker and the member of Scientific Comitte. The talk: Antontsev S.N., “Wave Equation with p(x,t)- Laplacian and Damping Term: Existence and Blow-up” was presented.

55. 7 th European conference on elliptic and parabolic problems, Gaeta, Italy, May 21-25, 2012. Invited speaker. The talk: Antontsev S.N. “On wave equations with p(x,t)- Laplacian and with viscous damping: Existence and Blow-up” was presented.

56. Workshop on Statistics, Mathematics and Computation and 3 rd Portuguese-Polish Workshop on Biometry in Honour of Professor Dinis Pestana. Covilhã, Portugal, July 3-4, 2012. The talk : J.C.M Duque, R.M.R. Almeida, S. Antontsev, “Convergence of the Finite Element Method for the Porous Media Equation in 2D with Variable Exponent” was presented.

57. The International Conference dedicated to the 80th anniversary of the birthday of Academician M.M. Lavrentiev. Inverse and ILL-Posed Problems of Mathematical Physics. Novosibirsk, Russia, 5-12 August, 2012. The talk: S. Antontsev, “On wave equations with p(x,t)- Laplacian and with viscous damping: Existence and Blow-up” was presented.

58. The Fouth International Scientific School-Conference for Young Scientists. Theory and Computational Methods for Inverse and Ill-posed Problems. Novosibirsk, Russia, 5-15 August, 2012. The talk: S. Antontsev, S. Shmarev. “Parabolic equations with double degenerations and non-standard conditions: existence, localization, blow-up of solutions” was presented.

59. International Workshop " Nonlinear PDEs in Continuum Mechanics", CMAF/Universidade de Lisboa, 6-7 June, 2013. The talk: Antontsev S.N., Dias J.P., Figueira M. “Complex Ginzburg-Landau equation with absorption: existence and localization properties ” was presented.

60. International Conference “Differential Equations. Function Spaces. Approximation Theory” dedicated to the 105th anniversary of the birthday of Sergei L. Sobolev, Novosibirsk, Russia, August 18 - 24, 2013. The invited talk “Doubly nonlinear parabolic equations in sobolev spaces with variable exponents of nonlinearity” was presented.

61. A conference devoted to 70-th anniversary of Prof. S. N. Antontsev

"Mathematical Hydrodynamics and Free boundary problems”,

September 29-October 2, 2013, Lavrentiev’s Institute of Hydrodynamics, Novosibirsk. The talk “NPDEs with nonstandard growth conditions” was presented.

62. International conference Mathematics and Geosciences: Global and local perspectives (CMAT, Campus de Cantoblanco, Spain, Madrid, November 4th-8th, 2013). The invited plenary talk Antontsev S “MATHEMATICAL MODELS OF HYDROLOGICAL CYCLE” was presented.

63. Conference “ The Energy of Mathematics: Two Journeys in the Occasion of the 70th Anniversary of S.N. Antontsev” , Universidad Complutense de Madrid, November 11- 12, 2013.

64. MAMERN13: 5th International Conference on Approximation Methods

and Numerical Modelling in Environment and Natural Resources

Granada (Spain), April 22-25, 2013. The talks "Wave Equations with p(x, t) - Laplacian and Damping Term: Existence and Blow-up" and "On a Class of Doubly Degenerate Parabolic Equations with Variable Nonlinearity" were presented.

65. All-Russian conference " New mathematical models in mechanics of continuous medium: constructions and studying ", Russia, Novosibirsk, 18-22 April, 2014. The plenary talk " Evolution Ginzburg-Landau with absorption: existence, uniqueness and localizations properties" was presented.

66. International Symposium on Applied Analysis in honour of Professor Michel Chipot on the occasion of his 65th birthday and his retirement.

Institut für Mathematik, Universität Zürich, from June 10 to 11, 2014. The talk "Complex Ginzburg-Landau equation with absorption: existence,uniqueness and localization properties" was presented.

67. International Conference "Advances in Mathematical Fluid Mechanics, Stochastic and Deterministic Methods", University of Lisbon, Portugal from June 30 to July 05, 2014. The plenary talk "Analysis of the existence for the steady Navier-Stokes equations with anisotropic dissipation" was presented.

68. International Conference “Lavrentyev readings on mathematics, mechanics and physics”, 07-11.09.2015. Novosibirsk, Russia. The talk “

Kelvin-Voight equations with p- Laplacian:Extinction and blow up” by . S.N. Antontsev, Kh.Khompysh was presented.

69. Barnaul, Russia, 02-05.09.2015. The conference “ Scientific and applied aspects of hydrodynamics, hydrophysics and ecology of water objects". The talk "Interaction of Surface and Underground Water" was presented.

70. Russian-French Workshop ”Mathematical Hydrodyhamics”, August 22-27, 2016. Novocibirsk, Russia, Novosibirsk State University, Lavrentyev Institute of Hydrodynamics. The talks: 1.”Kelvin-Voight equations with p- Laplacian:Existence, uniqueness asymptotic behavior and blow” by . S.N. Antontsev, Kh.Khompysh, 2.”Existence of entropy measure-valued solutions for forward-backward p-parabolic equations” by S.N. antontsev, I.V. Kuznetsov were presented.

71. Eighth international youth scientific school conference

"Theory and numerical methods of the solution of the inverse and illpossed problems" Novosibirsk, Academtaun , September 1 - 7, 2016. The talk

.”Existence of entropy measure-valued solutions for forward-backward p-parabolic equations” by S.N. Antontsev, I.V. Kuznetsov was presented.

,