Personal Data

Full name

José Francisco Silva Costa Rodrigues

Publishing name

José Francisco Rodrigues



Academic Degrees


Degree date


Final grade


Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title



Scientific area


Degree date


Final grade

Aprovado com Distinção e Louvor

Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title



Scientific area


Degree date


Final grade

Doctorat Troisième Cycle, Mention Trés Bien

Degree granting institution


School / College / Campus

Faculdade de Ciências do Mar e do Ambiente

Thesis title



Scientific area


Degree date


Final grade

18 valores

Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title



Scientific area

Profissional activity

Period Position Institution
10-05-2008 - 03-06-2011 Diretor Centro Internacional de Matemática
2007- Member Centro de Matemática e Aplicações Fundamentais/FCUL
2004-2006 Member/Researcher CMUC-Centro de Matemática da Universidade de Coimbra
1999- Present Co-ordinating Editor Interfaces and Free Boundaries - Journal
1991 - Present Editorial Board Portugaliae Mathematica - Journal
1991- Present Editorial Board Advances in Mathematical Sciences and Applications - Journal
1996-2005 Member of the Scientific Committee European Post-Doctoral Institute for the Mathematical Sciences
1993-Present Member of the Scientific-Museologic Committee Science Museum of the University of Lisbon
1993-97 Chairman of the Steering Committee FBP Scientific Program/European Science Foundation
1992-94 Member ASI/NATO Scientific Panel
1990-94 Vice-President Portuguese Mathematical Society, delegate at the EMS
1989-94 / 1998-2002 Director CMAF-Centro de Matemática e Aplicações Fundamentais/Univ. Lisbon
01-01-2003 - 31-12-2010 Presidente Comissão Nacional de Matemática/IMU

Area of scientific activity

Area of scientific activity


Specialization domain

Nonlinear Analysis and Partial Differential Equations, Free Boundary Problems, Mathematical Analysis of Continuum Physics Models, History of Mathematics, Multimedia and Communication of Mathematical Sciences, Public Awareness of Mathematics.

Current main scientific area


Other scientific activities


Experience as scientific advisor

Supervision of PhD. Thesis students at the University of Lisbon:
L.Santos, (from Univ. Minho), 1990 (on Elliptic and Parabolic Unilateral Problems)
J.M.Urbano, (from Univ. Coimbra), 1999 (on Free Boundary Problems)
L.Consiglieri, (Univ. Lisbon), 2000 (on Mathematical Problems in Non-Newtonian Fluids)
R.Teymurazyan, (Univ. Lisbon), 2013 (on Free Boundary Problems)

Thesis student at the University of Minho:
F. Miranda (from Univ. Minho), 2007 (on Electromagnetic Problems related to Nonlinear Laws), co-supervised by L.Santos

Post-doctoral fellows mentored at CMAF/Univ. Lisbon:
N.Chemetov, from Univ. Novosibirsk, 1991-92 (Fund. C.Gulbenkian fellowship)
J.Liang, from Univ. Suzhou, 1992-94 (Fund.Oriente fellowship)
S.Clain, from Ec.Polytec.Fed.Lausanne, 1995-96 (European Science Foundation fellowship)
N. Igbida, from Univ. Franche Conté (Bésançon), 1998-99 (CMAF/UL-FCT fellowship)
Namkwon Kim, from Univ. Seoul, 1999-2000 (CMAF/UL-FCT fellowship)
T Shilkin, from Steklov Math. Inst. St.Petersburg, 2002 (CMAF/UL-FCT fellowship)
F Chalub, from IMPA, Rio de Janeiro, 2003-04(CMAF/POCTI-project fellowship)
Hugo Tavares, 2011-12 University of Lisbon (FCT fellowship)
Maria Astudillo, 2013 from University of Coimbra (FCT fellowship)

Participations in R&D projects

A- Co-ordination of research projects:

1986-88 Project nº ST2J-0173-5-P, SCIENCE-CEE/Univ. Lisboa (local PI), Mathematical Models of Phase Transitions and Numerical Simulation, Univ.Augsburg (K.-H.Hoffmann, global PI);

1987-90 Projecto nº 87046 (Programa mobilizador) JNICT/CMAF-INIC: Mudanças de Fase em Mecânica Não Linear (PI);

1990-93 Projecto nº 43/M/P/90 “Programa Ciência”, JNICT/CMAF-INIC/UL: Laboratório de Matemática Computacional (Medida M) Apoio às Infra-estruturas Informáticas do Complexo II (Medida P), (PI);

1993-94 Stride Proj.437.02 de apoio ao Laboratório de Matemática Computacional, Universidade de Lisboa (PI);

1993-95 Project “Mathematics as an Industrial Resource”, co-ordinated by Oxford University, EEC/Human Capital and Mobility (local PI);

1993-97 ESF/FBP Scientific Programme Mathematical Treatment of Free Boundary Problems, European Science Foundation, (co-proposer and global co-ordinator);

1998-99 Project Praxis/2/2.1/MAT/125/94 Análise local e global das equações diferenciais. Fundamentos e aplicações (PI);

1997-00 INTAS 96-0835 Mathematical problems in non-linear mechanics of solids and fluids (local PI), Univ. Saarland (M Fuchs, global co-ordinator).

1998-01 Programatic FCT Funding of Centro de Matemática e Aplicações Fundamentais, Universidade de Lisboa (PI).

2001-04 Project POCTI/MAT/34471/99, Nonlinear Partial Differential Equations and Interfaces Problems, CMAF/Universidade de Lisboa (PI).

2013 - Mathematics of Planet Earth, international initiative, with a Portuguese component MPE2013

B- Organization of Conferences, Summer Courses and other Meetings:

1987 - International Colloquium Anastácio da Cunha (1744-1787), the Mathematician and the Poet, Lisbon, Portugal

1988 - European Workshop on Mathematical Models for Phase Change Problems, Óbidos, Portugal

1990 - National Meeting SPM/1940-1990, commemorating the 50th anniversary of the Portuguese Mathematical Society, Lisbon, Portugal

1991 - Summer School on Mathematical Topics in Fluid Mechanics, Lisboa, Portugal

1992 - ESF Workshop on Mathematical Treatment of Free Boundary Problems, Cascais, Portugal

1993 - Executive Committee Meeting of the European Mathematical Society, Lisbon, Portugal

1994 - International Symposium on Trends in Applications of Mathematics to Mechanics, Lisbon, Portugal

1995 - International Seminar on History of Mathematical Sciences: Portugal and the East, Arrábida, Portugal

1996 - ESF/FBP Workshop on Crystal Growth, Oberstaufen, Germany

1997 - International Seminar on Museums of Science and Technology, Arrábida, Portugal

1998 - ESF/FBP Workshop on Mathematical Treatment of Free Boundary Problems, Funchal, Portugal

1998 - Luso-Chinese Symposium on Nonlinear Evolution Equations and Applications, Macao, China

1999 – Thematic Semester (March-October) on Nonlinear Partial Differential Equations and Applications Lisbon, Portugal, including:
- NPDE Workshop on Interfaces in Continuous Media
- NPDE Workshop on Nonlinear Parabolic Problems

1999 - Fourth Diderot Mathematical Forum on Mathematics and Music, Lisbon-Paris-Vienna, (Historical Aspects, component held in Portugal and general co-ordination)

2000 - International Conference in the framework of the WMY2000 on Mathematics and its Role in Civilization, Macao, China

2000 - Euro-Summer CIM-CIME School on Mathematical Aspects of Evolving Interfaces, University of Madeira, Funchal, Portugal

2000 - EU TMR- Network Summer School on Mass Transportation Methods in Kinetic Theory and Hydrodynamics, Ponta Delgada (Azores), Portugal

2000 - Workshop on Multimedia Tools for Communicating Mathematics, Universidade de Lisboa, Portugal

2002 - Interdisciplinary conference NEXUS 2002- Relationship between Architecture and Mathematics, Óbidos, Portugal

2003 - International Conference on Trends in Partial Differential Equations of Mathematical Physics, held in 7-10 June 2003 in Óbidos, Portugal, on the occasion of the 70th birthday of Vsevolod A. Solonnikov.

2003 - Two Minisymposia at ICIAM 2003, Sydney, on Free Boundary Problems (with D. Hilhorst) and on Advanced Collaborative and Visualization Environments (with J.Borwein and K.Polthier)

2005 – International Conference on Free Boundary Problems: Theory and Applications, held in 7-12 June 2005 in Coimbra, Portugal.

2006 – Workshop on Communicating Mathematics in the Digital Era, held in 15-18 August 2006 in Aveiro, Portugal.

2007 - JEM-TN Workshop on “e+CalculuS”, held in 8-10 February 2007, in Lisbon.

2007 – CIM-UM Summer School on”Topics in Nonlinear PDEs”, held in 22-27 July 2007, in Coimbra, Portugal.

2007 – International Conference on The Future of Mathematical Education in Europe, held in 17-18 December 2007, in Lisbon, Portugal.

2008 – EIMI (Educational Interfaces between Mathematics and Industry ) IPCommittee Meeting, held in 2-5 October 2008 in Óbidos, Portugal.

2009 – The Mathematics of Darwin Legacy, 23-24 November, Lisbon, Portugal

2010 – Educational Interfaces between Mathematics and Industry, ICMI/ICIAM Study conference, Lisbon 11-15 October.

2011– Elementary Geometry from an Advanced Point of View, 1-3 September, Aveiro, Portugal

2014 - Progress in Nonlinear Partial Differential Equations, Lisbon, 29-31 May.

C-Public Awareness of Mathematics:

2000 - Co-ordination and presentation of the Mathematics Itinerant Exhibition Beyond the Third Dimension; started in Óbidos, travelled during two years in Portugal and visited the IMPA, Rio de Janeiro, Brazil, in 2001

2001-04 Co-author of the prototype Hypervideo “A história de PI”; in development in collaboration with T. Apostol (Caltech), S. Nápoles. L. Santos and T. Chambel (Lisbon)

2010 – Raising the Public Awareness in Mathematics – CIM-RPA/EMS Workshop, Óbidos, Portugal, 26-29 September

2010 – Idea and Conception of LPD-UHW, a 9’30’’ film of art and mathematics on elliptic curves and cryptography, produced by CIM in collaboration with MFOberwolfach and Casa da Animação.

2012 - Forms & Formulas, Concept and Co-ordination of a Mathematical Exhibition at the Museu Nacional de História Natural e da Ciência da ULisboa

2013 - Rhumb Lines and Spirals/Loxodrómias e Espirais, an interactive application presented in Paris at the UNESCO session in April on the MPE2013


Year Award Awarding entity
2004 Gulbenkian Basic Sciences prize Fundação Calouste Gulbenkian, Portugal.
1986 A. Malheiros in Mathematical Sciences Academy of Science of Lisbon, Portugal.


Livros (autor)

  • Obstacle Problems in Mathematical Physics, North-Holland Mathematical Studies, nº134, Amsterdam, 1987, xvi + 352 pp.

Artigos em revistas de circulação internacional com arbitragem científica

  • 1) “Sur un problème à frontière libre stationnaire traduisant la cristallisation d´un métal”, C.R. Acad. Sc. Paris 290-A (1980), 823-825.

    2) “Sur le comportement asymptotique de la solution et de la frontière libre d´une inéquation variationnelle parabolique”. Ann. Fac. Sc. Toulouse, 4 (1982), 263-279.

    4) (with M. Codegone) “Convergence of the coincidence set in the homogenization of the obstacle problem”, Ann. Fac. Sc. Toulouse 3 (1981), 275-285.

    5) (with M. Codegone) “On the homogenization of the rectangular dam problem”, Rend. Sem. Mat. Univ. Pol. Torino, 39 nº2 (1981), 125-136.

    6) “Free Boundary Convergence in the Homogenization of the One Phase Stefan Problem”. Trans. Amer. Math. Soc. 274 (1982), 297-305.

    7) (with M.Chipot) “On the steady-state continuous casting Stefan problem with nonlinear cooling”, Quaterly Appl. Math. 40 (1983), 479-491.

    8) “On the dam problem with boundary leaky condition”, Portugaliae Math., 39 (1980), 399-411.

    9) “Stabilité de la frontière libre dans le problème de la digue”. C.R. Acad. Sc. Paris, 294-I (1982), 565-568.

    10) “On the stability of the free boundary in the obstacle problem for a minimal surface”, Portugaliae Math., 41 (1982) 463-480.

    12) “Some remarks on the asymptotic behaviour of strong solutions to monotone parabolic variational inequalities”, Rendiconti di Matematica, (VII) 4 (1984), 458-470.

    13) “On the stability of the obstacle plateau problem on locally pseudoconvex domains”, Astérisque (SMF) 118 (1984), 211-218.

    14) “Some remarks on the homogenization of the dam problem”, manuscripta mathematica, 46 (1984), 65-82.

    15) (with D. Kröner) “Global behaviour for bounded solutions of a porous media equation of elliptic-parabolic type”, J. Math. Pures et Appl. 64 (1985), 105-120.

    17) “On a class of parabolic unilateral problems”, Nonlinear Analysis, Th. Meth. & Appl. 10 (1986), 1357-1366.

    18) “A steady-state Boussinesq-Stefan problem with continuous extraction”. Annali Mat. Pura ed Applicata (IV) 144 (1986), 203-218.

    19) “An evolutionary continuous casting problem of Stefan type”, Quaterly Appl. Math. 44 (1986), 109-131.

    20) (with B. Louro) “Remarks on the quasi-steady one phase Stefan problem”, Proc. Royal Soc. Edinburg, 102-A (1986), 263-275.

    21) “Strong stability results for the evolution obstacle problem with Neumann condition” Le Matematiche (Catania) XL (1985), 29-44.(1988)

    22) “On the variational inequality approach to the one phase Stefan problem”, “Acta Aplicandae Mathematica”, 8 (1987),1-35.

    23) “A unilateral thermoelastic Stefan-type problem”, Portugaliae Math., 45 (1988), 91-103.

    26) (with M.Chipot) “Comparision and stability of solutions to a class of quasilinear parabolic problems”, Proc. Royal Soc. Edinburg, 110A (1988), 275-285.

    27) (with L. Santos) “Asymptotic convergence in a one phase continuous casting Stefan problem with high extraction velocity”, I.M.A. J. Appl. Math. 42 (1989), 251-267.

    31) (with P. Colli) “A perturbation problem related to the highly compressible behaviour of a fluid in a thin layer”, Applicable Anal., 33 (1989), 191-201.

    33) (with P. Colli) “Diffusion through thin layers with high specific heat”, Asymptotic Anal., 3 (1990), 249-263.

    34) (with Yi Fahuai) “On a two-phase continuous casting Stefan problem with nonlinear flux”, European J. Appl. Math. 1 (1990), 259-278.

    37) (with M. Chipot)”On a class of nonlocal nonlinear elliptic problems”, RAIRO Modél. Math.Anal.Numér., 26 (1992) 447-468.

    38) (with P. Colli) “Hyperbolic perturbation problems involving time derivatives on the boundary”, Forum Mathematicum, 3 (1991), 205-218.

    39) “Remarks on the Reynolds problem of elastohydrodynamic lubrication”, European J. Appl. Math., 4 4 (1993), 83-96.

    40) “On a quasi-variational inequality arising in semicondutor theory”, Rev. Mat. Univ. Complutense Madrid, 5 (1992), 137-151.

    41) (with B. Zaltzman) “On classical solutions of the two-phase steady-state Stefan problem in strips”, Nonlinear Analysis, Th. Meth. & Appl. 19 (1992), 207-218.

    43) “A nonlinear parabolic system arising in thermomechanics and in thermomagnetism”, Math. Models & Meth.Appl. Sci., 2 (1992), 271-281.

    45) (with S.Howison & M.Shillor) “Stationary solutions to the thermistor problem”, J. Math. Anal. Appl. 174 (1993), 573-588.

    48) (with A. Bossavit) “On the electromagnetic induction heating problem in bounded domains”, Adv. Math. Sci. Appl. 3 (1994), 79-92.

    50) (with Li Ta-Tsien & Zhu Chen) “Limit behaviour of solutions to a class of nonlinear and nonlocal boundary value problems”, Asymptotic Analysis 9 (1994) 297-310.

    51) (with Liang Jin) “Existence of solutions for quasilinear weakly coercive elliptic variational inequalities”, J.Partial Diff.Eqs. 8 (1995), 205-210.

    55) (with B.Louro) “On the analysis of an endothermal/exothermal saturation problem”, Zapiski Nauchn. Sem. S.Petersburg Otdel. Steklov Math. Inst. (POMI) 233 (1996), 131-141.(also J.Math. Sci. (new York) 93 (1999),n.5, 711-718).

    58) (with Liang Jin) “Quasilinear elliptic problems with nonmonotone discontinuities and measure data”, Portugaliae Math. 53 (1996) 239-252.

    59) (with B. Zaltzman), “Regular Solutions of a Stefan Problem in Strips”, Annali di Matematica pura ed applicata (IV) CLXXII (1997),165-189.

    60) (with N. Chemetov), “A Class of Nonlinear elliptic problems with nonconvex constraints and applications”, Proc. Edinburgh Math. Soc. 41 (1998), 333-357.

    61) (with J.M.Urbano), “On the stationary Boussinesq-Stefan problem with constitutive power-laws”, Int. J. Non-Linear Mechanics 33 (1998), 555-566.

    63) (with S.Clain), “Local classical solutions for a chemical system with free boundary”, Differential and Integral Equations, 13 (2000), 903-920.

    64) (with J.M.Urbano), “On a Darcy-Stefan problem arising in freezing and thawing of saturated porous media”, Cont. Mech. Thermodyn.11 (1999), 181-191.

    65) (with J.M.Urbano), “Degenerate Elliptic problems in a class of free domains”, J. Math.Pures et Appl., 78(1999), 819-840.

    69) (with M. Kunze) “A n elliptic quasi-variational inequality with gradient constraints and some of its applications”, Math. Methods Appl. Sci., 23 (2000), 897-908.

    70) (with A.V. Ivanov),”Generalized solutions of a problem with an obstacle for quasilinear elliptic-parabolic equations”(Russian), Algebra I Analiz 11 (1999), 79-122, transl- in St.Petersburg Math. J., 11, (2000), n.3 457-484.

    71) (with A.V. Ivanov),”Existence and uniqueness of a weak solution to the initial mixed boundary value problem for quasilinear elliptic-parabolic equations”. Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 259 (1999), Kraev. Zadachi Mat. Fiz. i Smezh. Vopr. Teor. Funkts. 30, 67--88, 297; translation in J. Math. Sci. (New York) 109 (2002), no. 5, 1851-1866.

    72) (with V.A.Solonnikov and F.Yi) “On a parabolic systems with time derivative in the boundary conditions and related free boundary problems”, Math. Ann. 315 (1999), 61-95.

    73) (with D.Hilhorst) “On a nonlocal diffusion equation with discontinuous reactions”, Adv. Differential Equations 5 (2000), 657-680.

    76) (with L.Santos) “A parabolic quasi-variational inequality arising in a superconductivity model. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)29(2000), no.1, 153-169.

    78) (with L.E.Payne and B.Straughan) “Effect of anisotropic permeability on Darcy´s law”. Applied mathematical analysis in the last century. Math. Methods Appl. Sci. 24 (2001), 427--438.

    79) “On the hyperbolic obstacle problem of first order.” Chinese Ann. Math. Ser. B 23 (2002), 253-266.

    81) (with L.Consiglieri) “On Stationary Flows with Energy Dependent Nonlocal Viscosities” Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 295 (2003), 99-117.

    82) (with J.F.L.Silva) “On a unilateral reaction-diffusion system and a nonlocal evolution obstacle problem”, Comm.Pure Appl. Analysis, 3 (2004), 85-95.

    83) (with J.P.Dias and M.Figueira) “Solutions to a scalar discontinuous conservation law in a limit case of phase transitions”, J. Math. Fluid Mechanics 7 (2005), 153-163.

    84) (with L.Consiglieri and T.Shilkin) “On the Navier-Stokes Equations with Energy-Dependent Nonlocal Viscosities”, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 306 (2003), 71-91.

    85) “On Hyperbolic Variational Inequalities of First Order and Some Applications”, Monatsh. Math. 142 (2004) 157-177.

    86) “Stability remarks to the obstacle problem for the p-Laplacian type equations” Calculus of Variations and PDE 23 (2005), 51-65.

    87) (with S.N. Antontsev) “On stationary thermo-rheological viscous flows” Annali Univ Ferrara Sez. VII Sci Mat, 52 (2006), 19-36

    89) (with L.Consiglieri and N. Kim) “On non-Newtonian fluids with phase transition” Math. Meth. Appl. Sci. 29 nº13 (2006), 1523--1541.

    91) (with F. Chalub) Kinetic Models for Chemotaxis with Threshold, Portugaliae Math. 63(2) (2006), 227-250.

    92) (with A. Azevedo and L. Santos) “The N-membranes problem for nonlinear elliptic degenerate systems” Interfaces and Free Boundaries 7 (2005), 319-337

    93) (with G. Bizhanova) “"On classical solutions for parabolic systems with a free boundary of Stefan type" Adv. Diff. Eq.s 10 (2005), 1345-1388.

    97) (with M Sanchón and J.M. Urbano) “The obstacle problem for nonlinear elliptic equations with variable growth and L1-data”, in Monatsh. Math. 154 (2008), 303-322.

    98) (with L.Santos) “A unilateral multiphase problem with Neumann type boundary condition”, in (Chiba, 2007), GAKUTO Internat. Ser. Math. Sci. Appl., 29, Gakkotosho, Tokyo, (2008), 353-362.

    99) (with L.Santos and J.M.Urbano) “The nonlinear N-membranes evolution problem”, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 362 (2008), 303-324.

    101) (with F. Miranda and L.Santos) “A class of stationary nonlinear Maxwell systems”, Math. Mod. Meth. Appl. Sci. 19 (2009), nº10, 1883-1905.

    102) (with L.Santos) “On a constrained reaction-diffusion system related to multiphase problems”, Discr. Continuous Dyn. Syst. 25 (2009), nº1, 299-319.

    103) (with R. Teymurazyan) “On the two obstacles problem in Orlicz-Sobolev spaces and applications", Complex Var. Elliptic Equ. 56 (2011), no. 7-9, 769–787.

    104) (with S. Challal, A. Lyaghfouri) “On the A-Obstacle problem and the Hausdorff measure of its free boundary” Annali di Matematica Pura ed Applicata 191 (2012), nº1, 113-165.

    105) (with F. Miranda and L.Santos) “On a p-curl system arising in electromagnetism”, Discr.
    Continuous Dyn. Syst, Series S, 5 nº3 (2012), 605-629.

    106) (with L.Santos) “Quasivariational Solutions for First Order Quasilinear Equations with
    Gradient Constraint”, Arch. Rational Mech. Anal. 205 (2012), 493-514.

    107) (with H. Tavares) "Increasing powers in a degenerate parabolic logistic equation. Chin. Ann. Math. Ser. B 34 (2013), no. 2, 277–294.

    108) "Some mathematical aspects of the Planet Earth", European Congress of Mathematics (Krakow, 2012), Special Lecture, European Mathematical Society Proceedings (2013), 743-762.

    109) (with S. Challal, A. Lyaghfouri and R. Teymurazyan), "On the regularity of the free boundary for quasilinear obstacle problems" Interfaces and Free Boundaries, 16 (2014) 359-394.

    110) "On the Mathematical Analysis of Thick Fluids", J. Math. Sci. (N.Y.) 210 (2015), no. 6, 835–848.

    111) (with L.Santos) Solutions for linear conservation laws with gradient constraints, Port.
    Math. 72 (2015), 161-192.

    112) (with H. Beirão da Veiga, To the jubilee of João Paulo de Carvalho Dias on the occasion
    of his seventieth anniversary. Port Math. 72 (2015), 81-82.

    113) (with F. Miranda) "On a Variational Inequality for Incompressible Non-Newtonian Thick
    Flows" Recent advances in partial differential equations and applications, 305–316, Contemp. Math., 666, Amer. Math. Soc., Providence, RI, 2016.

    114) “On the Free Boundary in Heterogeneous Problems of Obstacle-Type with Two Phases”,
    St. Petersburg Math. J. 27 (2016), no. 3, 495–508.

    115) (with P. Amorim and W. Neves) "The obstacle-mass constraint problem for hyperbolic
    conservation laws. Solvability.” Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), no. 1, 221–248.

Publicações em actas de encontros científicos

  • 3) “On the free boundary of the evolution dam problem”, Research Notes in Maths. (Pitman) 78 (1983), 125-134.

    11) (with Marco Codegone) “Homogenization of the dam problem with layer structure”, Research Notes in Mathematics (Pitman), 78 (1983), 98-104.

    16) “Aspects of the variational approach to the continuous casting problem”, Research Notes in Maths. (Pitman) 120(1985), 72-83.

    25) “On the homogenization of some free boundary problems”. Nonclassical continuum mechanics (Durham, 1986), London Math. Soc. Lecture Note Ser., 122, Cambridge Univ. Press, Cambridge, (1987) 303--315.

    28) “Some remarks on the quasi-linear non-coercive elliptic obstacle problem”, in “Recent advances in nonlinear elliptic and parabolic problems”, Pitman Research Notes in Maths. (Longman) 208 (1989), 319-332.

    29) “Singular Perturbations in Obstacle Problems”, Proceedings BAIL-V, Shanghai Conf., ed. by B.Guo, J.Miller & Z.Shi, Boole Press, Dublin (1988), 299-303.

    30) “On the continuous dependence for the capillary problem with obstacle”, in “Differential Equations”, C.M.Dafermos, G.Ladas & G.Papanicolaou (Editors), M. Dekker, New York, (1989), 605-612.

    35) “On a steady-state two-phase Stefan problem with extraction”, Int. Ser. Numer. Math. (Birkhäuser) 95 (1990), 229-240.

    36) “A steady state solidification problem for a non-Newtonian fluid”, Pitman Research Notes in Maths. (Longman) 186 (1990), 699-702.

    42) “Strong solutions for quasi-linear elliptic-parabolic problems with time-dependent obstacles”, Pitman Research Notes in Maths. Ser. (Longman) 266 (1992), 70-82.

    46) “On the free boundary of a two-phase Stefan problem with convection”, Pitman Research Notes in Maths. Ser. (Longman) 281 (1993), 143-148.

    52) (with B. Zaltzman) “Free boundary optimal control in the multidimensional Stefan problem”, Pitman Research Notes in Maths.Ser., (Longman) 323 (1995), 186-194.

    53) “Thermoconvection with dissipation of quasi-Newtonian fluids in tubes”, in “Navier-Stokes Equations and Related Nonlinear Problems”, (A. Sequeira ed.), Plenum, New York, 1995, 279-288.

    56) (with L.Santos) “On the glacier kinematics with shallow-ice approximation”, Pitman Res. Notes Math. Series (Longman) 363 (1996), 254-263.

    62) “Steady state solutions to a multi-dimensional phase change problem in ground freezing”, in P.Argoul, M.Frémond & Q.S.Nguyen (Eds.) IUTAM Symposium on Variations of Domains and Free-Boundary Problems in Solid Mechanics, Kluwer Acad. Pub., Dordrecht, (1999), 1-7.

    66) (with J.M.Urbano), “On the mathematical analysis of a valley glacier model”, in Free Boundary Problems, Theory and Applications, (Crete 1997) Chapman & Hall/CRC Res. Notes in Math. 409 (1999) 237-245.

    67) “On a class of parabolic equations with nonlocal terms and applications”, in “Nonlinear evolution equations and applications”, (Macau 1998), World Scientific, Singapore, (1999), 191-202.

    68) (with J.Carvalho e Silva and C. Leal) “A noncoercive Volterra variational inequality arising in a Hele-Shaw problem”, in “Nonlinear evolution equations and applications”, (Macau 1998), World Scientific, Singapore, (1999), 1-10.

    74) (with J.M.Urbano) “On a three-dimensional convective Stefan problem for a non-Newtonian fluid” in Applied nonlinear analysis, Kluwer/Plenum, N. York (1999), 457-468.

    77) “On the evolution Boussinesq-Stefan problem for non-Newtonian fluids.” Free boundary problems: theory and applications, II (Chiba, 1999), GAKUTO Internat. Ser. Math. Sci. Appl., 14, Gakkotosho, Tokyo, (2000), 390-397.

    80) “Reaction-diffusion: from systems to nonlocal equations in a class of free boundary problems.” International Conference on Reaction-Diffusion Systems: Theory and Applications (Kyoto, 2001). Surikaisekikenkyusho Kokyuroku No. 1249 (2002), 72-89.

    88) (with L.Consiglieri and T.Shilkin) “A limit model for unidirectional non-Newtonian flows with nonlocal viscosity”, in “Trends in Partial Differential Equations in Mathematical Physics”, Progress in Nonlinear Differential Equations and Their Applications, Vol 61, 37-44. Birkhauser, Basel 2005

    90) (with A. Azevedo and L. Santos) “Remarks on the two and three membranes problem”, Elliptic and Parabolic Problems, (Taiwan,. 2004), C-C.Chen, M.Chipot and C.-S-Lin (Eds., World Sci. Singapore (2005), 19-33.

    94) (with F. Chalub) “A short description of kinetic models for chemotaxis”, in “Partial Differential Equations and Applications”, . in pp 59-68, "Hyperbolic problems and regularity questions", (M.Padula & L.Zanghirati, Ed.s) Trends in Mathematics, Birkhäuser, Basel, 2007.

    95) (with L.Consiglieri) “Steady-state Bingham flow with temperature depedent nonlocal parameters and friction”, in Free boundary problems, 149-157,. Ser. Numer. Math., 154, Birkhäuser, Basel, 2007.

    96) (with A. Azevedo and L. Santos) “The N-membranes problem with Neumann type boundary condition”, in Free boundary problems, 55-64,. Ser. Numer. Math., 154, Birkhäuser, Basel, 2007.

    98) (with L.Santos) “A unilateral multiphase problem with Neumann type boundary condition”, in (Chiba, 2007), GAKUTO Internat. Ser. Math. Sci. Appl., 29, Gakkotosho, Tokyo, (2008), 353-362.

Outras publicações

  • "Mathematics in Industry", CIM Bulletin, #25 (Dec 2008), 2-4.
    "Portugaliae Mathematica and its Exchange Library", CIM Bulletin, #36 (March 2016), 4-9.
    "Mathematics and Literature", CIM Bulletin, #37 (October 2016), 3-7.

Artigos em revistas nacionais com arbitragem científica

  • 24) “Free boundary stability in the one phase Stefan problem”, in “Nonlinear Analysis & Applications”; Ed. Lakshmikantham, Marcel Dekker, N.Y., 1987, Chap.66, pp.572-531.

    32) “The Stefan problem revisited”, Int. Ser. Numer. Math. (Birkhäuser) 88 (1989), 129-190.

    44) “Weak solutions for thermoconvective flows of Boussinesq-Stefan type”, Pitman Research Notes in Maths.Ser., (Longman) 274 (1992), 93-116.

    47) (with M. Primicerio) “The Hele-Shaw problem with nonlocal injection condition”, Gakuto Int. Ser. Math. Sci. Appls. Vol. 2 (1993) 375-390.

    49) “Variational Methods in the Stefan Problem”, Lecture Notes in Mathematics #1584, Springer Verlag, Berlim, (1994), 147-212.

    54) “On some nonlocal elliptic unilateral problems and applications“, Nonlinear Analysis and applications”, Gakuto Int. Ser. Math. Sci. Appl., vol. 7 (Gakkotosho, Tokyo)(1996), 343-360.

    57) (with L.Santos) “Some Free Boundary Problems in Theoretical Glaciology”, in NATO ASI Series I: Global Environmental Change, No.48, Springer-Verlag, Heidelberg, 1997, pp.337-365.

    75) “On a new class of nonlocal unilateral problems in thermomechanics”. Lectures on applied mathematics (Munich, 1999), Springer, Berlin, (2000), 89-101.

    106) “Preface to The Mathematics of Darwin’s Legacy”, (with F. Chalub), in “The Mathematics of Darwin’s Legacy”, Birkhauser, Basel 2011. (in press)

Livros (editor)

  • 1. “Mathematical Models for Phase Change Problems”, (Editor), ISNM nº88, Birkhäuser Verlag, Basel, 1989, xii + 412 pp.

    2. “Anastácio da Cunha (1744-1787) - O matemático e o poeta”, (co-editor with M.L. Ferraz e L. Saraiva), Imprensa Nacional/Casa da Moeda, Lisboa , 1990.

    3. “Mathematical Topics in Fluid Mechanics”, (co-editor with A. Sequeira), Pitman Research Notes in Maths. (Longman), 1992, ix+262 pp.

    4. “Trends in Applications of Mathematics to Mathematics”, (co-editor with M.M. Marques), Longman, Harlow, 1995, viii+364 pp.

    5. “Museums of Science and Technology”, (co-editor with M.A.A.Ferreira), Fundação Oriente, Lisboa, 1998, 192 pp.
    6. “Free Boundary Problems, Theory and Applications”, (co-editor with I.Athanasopoulos and G.Makrakis), CRCPress, Boca Raton, 1999, xii+355 pp.

    7. “Nonlinear evolution equations and applications”, (co-editor with Li Tatsien and Lin Longwei) World Scientific, Singapore, 1999, x+321 pp.

    8. “Multimedia tools for communicating mathematics” (co-edited with J. Borwein, M. H. Morales and K. Polthier), Springer-Verlag, Berlin, 2002. viii+314 pp+1 CD-Rom.

    9. “Nexus IV: Architecture and Mathematics” (co-edited with Kim Williams), KWBooks, Florence, 2002, 268 pp.

    10. “Mathematics and Music. A Diderot Mathematical Forum”, (co-edited with G.Assayag and H.-G-Feichtinger) Springer-Verlag, Berlin, 2002. xvii+288 pp.

    11 “Mathematical Aspects of Evolving Interfaces”, (co-edited with P. Colli) Lect. Notes in Mathematics, Springer-Verlag, Berlin, 2003

    12 “Recent Advances in the Theory and Applications of Mass Transport”, (co-edited with M.C.Carvalho), Contemporary Mathematics #353, American Mathematical Society, 2004.

    13 “Trends in Partial Differential Equations in Mathematical Physics”, (co-edited with G.Seregin and JM Urbano), Birkhauser, Basel 2005

    14 “Free Boundary Problems, Theory and Applications”, (co-editor with I. Figueiredo and L.Santos), ISNM vol 154, Birkhauser, Basel 2007

    15 “Communicating Mathematics in the Digital Era”, (co-editor with J. Borwein and E. Rocha), AKPeters, Wellesley, MA, 2008

    16 Proceedings EIMI 2010 (Educational Interfaces between Mathematics and Industry), (co-editor with A Araújo, A Fernandes and A Azevedo, Centro Internacional de Matemática, Portugal and COMAP, Inc. Bedford, MA USA, ISBN-10:1-933223-64-2.

    17 “The Mathematics of Darwin’s Legacy”, co-editor with F. Chalub, Birkhauser, Basel 2011.

    18 "Raising Public Awareness of Mathematics", co-edited with E. Behrends and N. Crato), Springer, Berlin Heidelberg 2012

    19 "Educational Interfaces between Mathematics and Industry", co-edited with A. Damlamian and R. Strãsser, ICMI-ICIAM Study 20, Springer Int. Publ., Switzerland 2013


Comunicações orais por convite

Selected (short term) Visiting Appointments and Conference Invitations:
1979/80 - Univ. Paris VI, French Government Fellowship, Advisor: G. Duvaut
1981 - Montecatini, Italy, Conference on Free Boundary Problems
1982 - Univ. Bonn, Postdoctoral Mentor: H.W. Alt
1983 - Univ. Pavia and Florence, Postdoctoral Mentor: C. Baiocchi
1984 - IMA/Univ. Minnesota; AMS meeting on Nonlinear Problems in Mechanics
1985/87/89/93/95/99/02 - Oberwolfach Math. Inst. Meetings
1986 - Durham, UK, LMS Symposium on Nonclassical Continuum Mechanics
1987 - Xanthi, Greece, EQUADIFF-87 conference
1988 - Univ.s Metz and Nancy, Conf. Nonlinear Elliptic and Parabolic Problems
- Univ.s Suzhou and Tsinghua (Peking), China
1989 - Irsee/Bavaria, Conference on Flow and Transport through Porous media
1990 - Montreal, Canada, Conference on Free Boundary Problems
1991 - Pont-à-Mousson, France, Conf. Nonlinear Elliptic and Parabolic PDEs
- IMA/Univ. Minnesota
1992 - Ecole Polytechnique, France
- Iwaki, Japan, Conference on Nonlinear Mathematical Problems in Industry
1993 - Toledo, Spain, Conference on Free Boundary Problems
- Hanoi, Vietnam, Conference on Applied Analysis
1994 - Banach International Mathematical Center, Warsaw, Poland
1995 - Zakopane, Polland, Conference on Free Boundary Problems
1996 - Courant Institute, New York University
- Steklov Math.Inst. (POMI), St.Petersburg
1997 - Scuola Norm Sup. Pisa, Confer. on Variational Problems with Free Interfaces
- Paris, IUTAM Symposium Variations of Domain and FBP in Solid Mechanics
1998 - Oxford Univ, UK, Meeting on Free Boundary Problems and Hele-Shaw Flow
1999 - Freiburg, Germany, Interphase Conference on Numerics Meths. for FBPs
2000 - Inst. Math. Academia Sinica, Peking
- Erwin Schrödinger Institute, Univ. Vienna
- RIMS Kyoto Univ. Conference on Reaction Diffusion Problems
2001 - University of Texas at Austin
- Newton Institute, Univ. Cambridge, UK
- Yellow Mountain, China, Conference on Nonlinear Evolution PDEs
2002 - IMPA, Rio de Janeiro, Brasil
- St.Petersburg, NSEQ-8 Conference Navier-Stokes Equations and Applications
2002/03 - Institut des Hautes Etudes Scientifiques, France
2003 – Australian National University, Canberra, Australia
– KTH Technical University of Stockholm, Sweden
2004 – NCTS, Taiwan, Inter. Conf. Elliptic and Parabolic Problems: Recent Advance.
– Mathematical Inst., Almaty, Acad. Sciences Kazakistan
– INdAM Workshop Dissipative Models in Phase Transitions, Cortona, Italy
2005 – Univ. Ferrara, Italy, Confer. “PDEs and Applications”
– Univ. Bonn, Germany, Confer. “FBPs and Nonlinear PDEs”
– WIAS, Berlin, Confer. “Dynamics of Phase Transitions”
2006 – Halifax, Canada, AARMS/Dalhousie Atlantic Analysis Conference
– Workshop Mathematical Models for Special Materials, Salò, Italy
– Intern. Conf. New Trends in Viscosity Solutions and Nonlinear PDEs, Lisbon
– Univ Paris-Sud, France, Journée d’Analyse Non Linéaire
2007 – ICIAM - 07 Minisymposium "FBPs and Their Applications", Zurich
– K-H Hoffmann Symposium, TU Munich
– MAMOS Workshop, Univ Texas at Austin, USA
– Inter. Conf. Nonlinear Phenomena with Energy Dissipation, Chiba, Japan
2008 – Univ Bordeaux, France, Recent Progress in Front Propagation and Applications
– Inter. Conf. Free Boundary Problems (FBP_08), Stockholm, Sweden
– Inter. Conf. Parabolic and Navier-Stokes Equations 2008, Bedlewo, Poland
– Inter. Workshop Phase Transitions and Optimal Control,, Berlin
– 5th JEM Workshop Impact of ICT on Teaching Mathematics, Paris
2009 – Fields Institute for Research in Mathematical Sciences, Toronto, Canada
2010 – Mathematisches Forschungsinstitut Oberwolfach, Germany
– IMPA (Instituto de Matemática Pura e Aplicada) Rio de Janeiro, Brasil
2011 – Mathematical Institute, Fudan University, Shanghai, China
2012 – European Congress of Mathematics, Krakow, Poland
2013 – Armenian Mathematics Congress, Yerevan, Armenia
2014 – Newton Institute, University of Cambridge, UK
– Steklov Mathematical Institute St.Petersburg, Russia