Personal Data

Full name

Hermenegildo Augusto Vieira Borges de Oliveira

Publishing name

Hermenegildo Borges de Oliveira

Birthday

1969-04-12T00:00:00

Academic Degrees

DOUTORAMENTO(0)

Degree date

2004

Final grade

n/a

Degree granting institution

Universidade do Algarve

School / College / Campus

Faculdade de Ciências e Tecnologia

Thesis title

Localização de soluções para equações de Navier-Stokes planares.

Supervisor

Stanislav Nikolaevich Antontsev

Co-supervisor

-

Scientific area

Matemática

MESTRADO(2)

Degree date

1999

Final grade

Nível 5 (Excelente)

Degree granting institution

Universidade Técnica de Lisboa

School / College / Campus

Instituto Superior Técnico

Thesis title

Métodos Variacionais e o Problema de Segmentação de Imagem

Supervisor

José Matias

Co-supervisor

-

Scientific area

Matemática

LICENCIATURA(4)

Degree date

1994

Final grade

13

Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title

n/a

Supervisor

n/a

Co-supervisor

-

Scientific area

Matemática

Profissional activity

Period Position Institution
09-07-2004 - Assistant Professor University of the Algarve, Faro
01-11-1998 - 08-07-2004 Lecturer University of the Algarve, Faro
01-10-1997 - 31-08-1998 Lecturer Lusófona University, Lisboa
01-09-1997 - 30-10-1998 Teacher Secondary School Alfredo da Silva, Barreiro
01-10-1995 - 31-08-1997 Teacher Secondary School Santo André, Barreiro
01-01-1995 - 30-06-1995 Statistical Technician Company A.C. Nielsen, Lisbon
01-10-1994 - 31-12-1994 Teacher Secondary School. Casquilhos, Barreiro
30-08-1990 - 01-02-1992 Aspirante Fuzileiro Marines School, Barreiro, and Naval Base, Almada, Portugal

Area of scientific activity

Area of scientific activity

Mathematics -> Mathematical Analysis -> Partial Differential Equations -> Fluid Mechanics.

Specialization domain

Nonlinear Partial Differential Equations,
Mathematical Fluid Mechanics.

Current main scientific area

Existence, uniqueness, qualitative properties of the solutions to nonlinear PDEs.
Mathematical modeling: turbulent flows, large scale flows (ocean and atmosphere), ice sheet flows, blood flows. Cartographic representations of the Earth surface.

Other scientific activities

Aplications of mathematics as a tool in some social and economic studies of regional/national/european character.

Experience as scientific advisor

PhD:
- Ana Paiva, University of the Algarve, on going;
- Dar'ya Serbishenko, Erasmus Mundus ECW, 2010-2011;
- Kristina Gorielova, Erasmus Mundus ECW, 2009-2010;


Master Sc.:
- Ana Paiva, University of the Algarve, 2009;
- Daniela Caiado, University of the Algarve, 2009;

Monographs of final degree:
- Ana Luísa Frade, University of the Algarve, 2009.

Participations in R&D projects

Yearly research project of CMAF - University of Lisbon, since 2005, being PEst-OE/MAT/UI0209/2013 the last one.

Grant from FCT: SFRH/BSAB/1058/2010;

Research project FCT-POCTI/MAT/61576/2004 "Variable Exponents on Nonlinearity in Fluid Mechanics".

Research project FCT-POCTI/34471/MAT/2000 "Nonlinear Partial Differential Equations and Interface Problems".

Awards

Year Award Awarding entity

Publications

Artigos em revistas de circulação internacional com arbitragem científica

  • On the confinement of a viscous fluid by means of a feedback external field, C. R. Mecanique 330 (2002), 797-802 (with S.N. Antontsev and J.I. Díaz).
    http://dx.doi.org/10.1016/S1631-0721(02)01536-X

Artigos em revistas de circulação internacional com arbitragem científica

  • Stopping a viscous fluid by a feedback dissipative field: I. The stationary Stokes problem, J. Math. Fluid Mech. 6 (2004), 439-461 (with S.N. Antontsev and J.I. Díaz). http://dx.doi.org/10.1007/s00021-004-0106-x

Publicações em actas de encontros científicos

Teses

  • M.Sc. Thesis, Variational Methods and the Image Segmentation Problem (portuguese), Instituto Superior Técnico, Lisbon, supervised by J. Matias, 1999.

Publicações em actas de encontros científicos

  • On a Thermal Effect Without Phase Changing (Portuguese). In CD-ROM of Proceedings of Congress of Numerical Methods in Engineering (E.T.S. de Ingenieros de Caminos, Canales y Puertos, Universidad de Granada, 2005). Sociedad Española de Métodos Numéricos en Ingeniería e Associação Portuguesa de Mecânica Teórica, Aplicada e Computacional, (with S.N. Antontsev). http://w3.ualg.pt/~holivei/ARTIGO-SEMNI-05.pdf

Publicações em actas de encontros científicos

  • Mathematical models in dynamics of non-Newtonian fluids and in glaciology, Proceedings of the Congresse on Numerical and Computational Methods in Engineering, 20 pp., Faculdade de Engenharia da Universidade do Porto (2007), APMTAC, SEMNI e ABMEC (with S.N. Antontsev and J.I. Díaz). http://w3.ualg.pt/~holivei/ADO-Porto-2007.pdf

Publicações em actas de encontros científicos

  • On a mathematical model in ice sheet dynamics, Proceedings of the 5 th IASME/WSEAS International Conference on Fluid Mechanics and Aerodynamics, pp. 1-8, (2007). ISBN: 978-960-8457-99-7 (with S.N. Antontsev). http://w3.ualg.pt/~holivei/Antontsev-Oliveira-WSEAS2007-Athens.pdf

Capítulos de livros

  • Stopping a viscous fluid by a feedback dissipative field: thermal effects without phase changing. Progr. Nonlinear Differential Equations Appl. 61 (2005), pp. 1-14 (with S.N. Antontsev and J.I. Díaz).
    http://dx.doi.org/10.1007/3-7643-7317-2_1

Capítulos de livros

  • Finite time localized solutions of fluid problems with anisotropic dissipation. Internat. Ser. Numer. Math. 154 (2007), pp. 23-32 (with S.N. Antontsev).
    http://dx.doi.org/10.1007/978-3-7643-7719-9_3

Artigos em revistas de circulação internacional com arbitragem científica

  • Stopping a viscous fluid by a feedback dissipative field: II. The stationary Navier-Stokes problem. Rend. Mat. Acc. Lincei s. 9, v. 15 (2004), pp. 257-270 (with S.N. Antontsev and J.I. Díaz).
    http://www.bdim.eu/item?fmt=pdf&id=RLIN_2004_9_15_3-4_257_0

Artigos em revistas de circulação internacional com arbitragem científica

  • Navier-Stokes equations with absorption under slip boundary conditions: existence, uniqueness and extinction in time. RIMS Kôkyûroku Bessatsu B1(2007), pp. 21-42 (with S.N. Antontsev).
    http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu/open/B1/pdf/B1-2.pdf

Artigos em revistas de circulação internacional com arbitragem científica

  • Qualitative properties of the ice-thickness in a 3D model. WSEAS Trans. Math., 7 (2008) no. 3, pp. 78-86 (with S.N. Antontsev).
    http://www.wseas.us/e-library/transactions/mathematics/2008/25-519.pdf

Artigos em revistas de circulação internacional com arbitragem científica

  • The Oberbeck-Boussinesq problem modified by a thermo-absorption term. J. Math. Anal. Appl. 379 (2011) no. 2, 802-817 (with S.N. Antontsev). http://dx.doi.org/10.1016/j.physletb.2003.10.071

Artigos em revistas de circulação internacional com arbitragem científica

  • Existence of weak solutions for the generalized Navier-Stokes equations with damping. NoDEA Nonlinear Differential Equations Appl. 20 (2013) no. 3, 797-824.
    http://dx.doi.org/10.1007/s00030-012-0180-3

Artigos em revistas nacionais com arbitragem científica

  • Existence results of weak solutions for viscous fluids (Portuguese). Bol. Soc. Port. Mat. 2013, Special Issue, 23-26.
    http://w3.ualg.pt/~holivei/HBO_BSPM_ENSPM12_R1.pdf

Artigos em revistas de circulação internacional com arbitragem científica

  • Analysis of the existence for the steady Navier-Stokes squations with anisotropic diffusion. Adv. Differential Equations 19 (2014) no. 5-6, 441-472 (with S.N. Antontsev).
    http://projecteuclid.org/euclid.ade/1396558058

Artigos em revistas de circulação internacional com arbitragem científica

  • Asymptotic behavior of trembilng fluids. Nonlinear Anal. Real World Appl. 19 (2014), 54-66 (with S.N. Antontsev).
    http://dx.doi.org/10.1016/j.nonrwa.2014.02.005

Capítulos de livros

  • On a stochastic coupled system of reaction-diffusion of nonlocal type. In Springer Proc. Math. Stat. 75 (2014), (with E.A. Coayla-Terán, J. Ferreira, P.M.D. de Magalhães).
    http://dx.doi.org/10.1007/978-3-642-54271-8_15

Artigos em revistas de circulação internacional com arbitragem científica

  • Anisotropically diffused and damped Navier-Stokes equations. Discrete Contin. Dyn. Syst. 2015, Suppl., 349-358 (2015).
    http://dx.doi.org/10.3934/proc.2015.0349

Artigos em revistas de circulação internacional com arbitragem científica

  • Evolution problems of Navier-Stokes type with anisotropic diffusion. Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110 (2016), no. 2, 729-754 (with S.N. Antontsev).
    http://dx.doi.org/10.1007/s13398-015-0262-2

Artigos em revistas de circulação internacional com arbitragem científica

  • Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms. Discrete Contin. Dyn. Syst. - A 37 (2017), no. 5, 2431-2453 (with J. Ferreira).
    http://dx.doi.org/10.3934/dcds.2017105

Artigos em revistas de circulação internacional com arbitragem científica

  • A stationary one-equation turbulent model with applications in porous media. J. Math. Fluid Mech. (2017). Online First: 12 May 2017 (with A. Paiva)
    http://dx.doi.org/10.1007/s00021-017-0325-6

Capítulos de livros

  • On a one-equation turbulent model with feedbacks. In Springer Proc. Math. Stat. 164 (2016), 51-61 (with A. Paiva).
    http://dx.doi.org/10.1007/978-3-319-32857-7_5

Artigos em revistas nacionais com arbitragem científica

  • Ice sheet flows in polar climates (Portuguese). Bol. Soc. Port. Mat., Special Issue (2016), 13-16.
    http://w3.ualg.pt/~holivei/BSPM-2016.pdf

Artigos em revistas de circulação internacional com arbitragem científica

  • Existence for a one-equation turbulent model with strong nonlinearities. J. Elliptic Parabol. Equ. 3 (2017), no. 1-2, 65-91 (with A. Paiva).
    https://doi.org/10.1007/s41808-017-0005-y

Capítulos de livros

  • A note on the existence for a model of turbulent flows through porous media. To appear in Springer Proc. Math. Stat. 2018.
    Preprint at http://w3.ualg.pt/~holivei/SPM-2018.pdf

Artigos em revistas de circulação internacional com arbitragem científica

  • The Navier-Stokes problem modified by an absorption term. Appl. Anal., 89 (2010), no. 12, pp. 1805-1825 (with S.N. Antontsev).
    http://dx.doi.org/10.1080/00036811.2010.495341

Capítulos de livros

  • On the influence of an absorption term in incompressible fluid flows. Advances in Mathematical Fluid Mechanics, Springer-Verlag (2009), pp. 409-424.
    http://dx.doi.org/10.1007/978-3-642-04068-9_25

Teses

  • Ph.D. Thesis, Localization of solutions for planar Navier-Stokes equations, Supervised by S.N. Antontsev, University of Algarve, 2004.
    http://purl.pt/6356

Publicações em actas de encontros científicos

  • Localization of weak solutions for non-Newtonian fluid flows (Portuguese). In CD-ROM of Proceedings of Congress of Computational Methods in Engineering (Laboratório Nacional de Engenharia Civil, Lisbon, 2004). APMTAC and SEMNI. (with S.N. Antontsev). http://w3.ualg.pt/~holivei/ARTIGO-CMCE-2004-AO.pdf

Communications

Outras comunicações orais

Seminar - Localization of solutions of nonlinear equations of Navier-Stokes type, Mathematics Department of University of Beira Interior, Covilhã, 17/05/2001.

Outras comunicações orais

Talk - Localization of weak solutions of a Stokes problem with nonlinear force, Project FCT-POCTI/34471/MAT/2000 "Nonlinear Partial Differential Equations and Interface Problems", University of Beira Interior, Covilhã, 2001/10/13

Outras comunicações orais

Seminar - On a bi-harmonic problem in a semi-infinite strip. Mathematics Department of Faculty of Sciences and Technology of University of Algarve, Faro, 2001/11/30 and 2001/12/14.

Outras comunicações orais

Seminar - Localization of the weak solutions of Stokes equations with non-linear force. Faculty of Mathematics of Complutense University, Madrid, 2002/03/22.

Outras comunicações orais

Seminar - Navier-Stokes Equations with a feedback dissipative friction: 2-d stationary cases. CIM/University of Évora, Évora, 2003/04/03.

Outras comunicações orais

Seminar - Localization of solutions for planar Navier-Stokes equations. Technical Superior Institute of Technical University of Lisbon, Lisbon, 2003/12/03; Mathematics Department of University of Beira Interior, Covilhã, 2003/12/05; and Mathematics Department of Faculty of Sciences and Technology of University of Algarve, Faro, 2004/06/08.

Comunicações orais por convite

Stopping a viscous fluid by a feedback dissipative external field: I. The stationary Stokes equations. Internatioanl Conference Navier Stokes Equations and Related Topics (NSEC8), Euler International Mathematical Institute, St. Petersburgh, Russia, 11-18 September 2002.<br>

Comunicações orais por convite

Confinement of a viscous fluid by means of a nonlinear source. Winter Scholl on Nonlinear Partial Differential Equations, Instituto Superior Técnico, Lisbon, Portugal, 13-17 January 2003.<br>

Comunicações orais por convite

Stopping a viscous fluid by a feedback dissipative external field: stationary Navier-Stokes equations. International Conference Nonlinear Partial Differential Equations, Institute of Applied Mathematics and Mechanics of NASU, Aulshta, Ukraine, 15-21 September 2003.

Comunicações orais por convite

Localization of weak solutions for non-Newtonian fluid flows (Portuguese). International Congress Computational Methods in Engineering, Lisbon, Portugal, 31 May - 2 June 2004.<br>

Comunicações orais por convite

On Navier-Stokes Systems Whose Solutions Have Finite Time Localization. International Conference Free Boundary Problems: Theory and Applications, Coimbra, Portugal, 7-12 Junne 2005.<br>

Comunicações orais por convite

Qualitative properties for solutions of viscous fluid problems with anisotropic dissipation. International Conference Kyoto Conference on the Navier-Stokes equations and their Applications, Kyoto, Japan, 6-10 January 2006.

Comunicações orais por convite

Extinction in time for exothermic viscous fluids (invited speaker). III International Conference on Mathematical Fluid Mechanics and Applications, Évora, 15-17 June 2006.<br>

Comunicações orais por convite

Navier-Stokes equations with absorption under slip boundary conditios. The Banach Center Conference on Parabolic and Navier-Stokes Equations, Bendlewo, Poland, 10-17 September 2006.<br>

Comunicações orais por convite

The general Oberbeck-Boussinesq problem with feedbacks on the body force and heat capacity. International Conference on Mathematical Fluid Mechanics - a tribute to G.P. Galdi, Estoril, Portugal, 21-27 May 2007.

Comunicações orais por convite

Mathematical models in dynamics of non-Newtonian fluids and in glaciology. International Congresse on Numerical and Computational Methods in Engineering, Porto, Portugal, 13-15 June 2007.<br>

Comunicações orais por convite

On a mathematical model in ice sheet dynamics. 5th IASME/WSEAS International Conference - Fluid Mechanics and Aerodynamics, Vouliagmeni, Athens, Greece, 25-27 August 2007.

Outras comunicações orais

Seminar - On a modified Oberbeck-Boussinesq problem: existence, uniqueness, qualitative properties. Research Center in Mathematics and Applications, University of Évora, 2007/05/09.

Outras comunicações orais

Workshop - Mathematical aspects of ice sheet flows in Antarctica. 1st Workshop on Portuguese Polar Science, Faculty of Arts of the University of Lisbon, Portugal, 27 May 2008.<br>

Outras comunicações orais

Workshop - Qualitative properties of the ice-thickness in a 3D- model. 1st Workshop on Climate Prediction, Faculty of Sciences of the University of Lisbon, Portugal, 24 September 2008.

Comunicações orais por convite

Workshop - On a mathematical problem in Glaciology (Portuguese). Follow up Workshop on Mathematics and the Environment, CIM, Coimbra, 27-28 January 2006.<br><br>

Comunicações orais por convite

Talk - Geaographic and population centers of the Algarve. Open Week of the University of Algarve, 05-06/03/2009.

Outras comunicações orais

Seminar - On the influence of an absorption term in incompressible fluid flows. Centro de Matemática da Universidade do Minho. Braga, 04/06/2009.

Outras comunicações orais

Seminar - On the localization properties of weak solutions for generalized Navier-Stokes equations. Dipartimento di Matematica Applicata, Università di Pisa. Italia, 13/10/2010.

Outras comunicações orais

Seminar - On the existence of weak solutions for generalized Navier-Stokes equations. Dipartimento di Matematica, Università di Brescia. Italia, 01/12/2010.

Comunicações orais por convite

On the existence of weak solutions for generalized Navier-Stokes equations. Dipartimento di Matematica, Università di Trento. Italia, 02/12/2010.

Outras comunicações orais

Seminar - A physical motivation for Navier-Stokes type problems with damping. Fudan University. Shanghai, China, 03/06/2011.

Outras comunicações orais

Seminar - Some mathematical aspects of ice sheet flows. College of Mathematics, Physics and Information Technology, Zhejiang Normal University. Jinhua, China, 01/06/2011.

Comunicações orais por convite

An existence result for the generalized Navier-Stokes problem with a variable q-structure. College of Mathematics, Physics and Information Technology, Zhejiang Normal University. Jinhua, China, 01/06/2011.

Comunicações orais por convite

A physical motivation for Navier-Stokes type problems with damping. School of Mathematical Sciences, Fudan University. Shanghai, China, 03/06/2011.

Outras comunicações orais

Seminar - Existence of weak solutions for the generalized Navier-Stokes problem with a variable q-structure. Institut für Mathematik, Humboldt University. Berlin, 11/07/2011.

Comunicações orais por convite

Existence for the steady problem of a mixture of two power-law fluids. PDEs for multiphase advanced materials. Cortona, Italy, September 17-21, 2012.

Outras comunicações orais

Seminar - On the localization properties of weak solutions for generalized Navier-Stokes equations. Dipartimento di Matematica Applicata, Università di Pisa. Italia, 13/10/2010.

Outras comunicações orais

Seminar - On the existence of weak solutions for generalized Navier-Stokes equations. Dipartimento di Matematica, Università di Trento. Italia, 02/12/2010.

Outras comunicações orais

Seminar - Existence of weak solutions for the generalized Navier-Stokes problem with a variable q-structure. Institut für Mathematik, Humboldt University. Berlin, 11/07/2011.

Outras comunicações orais

Seminar - Existence results for non-Newtonian viscous fluid problems with different types of dissipation. CMUC - Universidade de Coimbra, 27/04/2012.

Outras comunicações orais

Seminar - On the mathematical analysis of viscous and incompressible fluids. CIDMA - Universidade de Aveiro, 18/04/2013.

Outras comunicações orais

Seminar - On the mathematical analysis of viscous and incompressible fluids. CIDMA - Universidade de Aveiro , 18/04/2013.

Comunicações orais por convite

Models of viscous fluids with variable exponents: Results and Open Problems. Nonlinear PDEs in Continuum Mechanics. Lisbon, Portugal, June 6-7, 2013.

Comunicações orais por convite

Analysis of the existence for the steady Navier-Stokes equations with anisotropic diffusion. The Energy of Mathematics: Two Days in the Occasion of the 70th Anniversary of S.N. Antontsev. Madrid, Spain, November 11-12, 2013.

Comunicações orais por convite

Navier-Stokes equations with anisotropic diffusion. Variational Methods in Elliptic Equations and Systems: Remembering Miguel Ramos. Lisbon, Portugal, January 7-10, 2014.

Comunicações orais por convite

Escoamentos de mantos de gelo em climas polares, Encontro Nacional da SPM, Universidade Nova de Lisboa, Campus da Caparica, 14-16 Julho 2014.

Comunicações orais por convite

Asymptotic behvior of solutions to anisotropic Navier-Stokes type equations, The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain, July 07-11, 2014.

Outras comunicações orais

Seminar: Evolution problems of Navier–Stokes type with anisotropic diffusion, Universidade Federal de Santa Catarina, Brazil, 05/10/2016.

Comunicações orais por convite

Analysis of a turbulence k-epsilon model with applications in porous media. The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications. July 1 - July 5, 2016, Orlando, Florida, USA.

Comunicações orais por convite

On a turbulent k-epsilon model with applications in porous media. 2nd IMPA-InterPore Conference on Porous Media, IMPA, Rio de Janeiro, Brazil, October 16-19, 2016.

Outras comunicações orais

Seminar - Turbulent flows through porous media, CMA/FCT - Universidade Nova de Lisboa, Caparica, 18/10/2017

Outras comunicações orais

Seminar - Existence results for Navier-Stokes equations with anisotropic diffusion, Sun Yat-Sen University, Zhuhai, China, 17/11/2017

Outras comunicações orais

Seminar - Asymptotic behavior of the solutions to the Navier-Stokes equations with anisotropic diffusion, Sun Yat-Sen University, Zhuhai, China, 23/11/2017

Comunicações orais por convite

Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms, International Conference on Differential & Difference Equations and Applications, Amadora, June 5 - 9, 2017