Personal Data
Full name
José Francisco Silva Costa Rodrigues
Publishing name
José Francisco Rodrigues
Birthday
19561029T00:00:00
Academic Degrees
AGREGAÇÃO(0)
Degree date
1988
Final grade
Aprovado
Degree granting institution
Universidade de Lisboa
School / College / Campus
Faculdade de Ciências
Thesis title
Supervisor
Cosupervisor
Scientific area
DOUTORAMENTO(0)
Degree date
1982
Final grade
Aprovado com Distinção e Louvor
Degree granting institution
Universidade de Lisboa
School / College / Campus
Faculdade de Ciências
Thesis title
Supervisor
Cosupervisor
Scientific area
S/ INDICAÇÃO(0)
Degree date
1980
Final grade
Doctorat Troisième Cycle, Mention Trés Bien
Degree granting institution
Outra
School / College / Campus
Faculdade de Ciências do Mar e do Ambiente
Thesis title
Supervisor
Cosupervisor
Scientific area
LICENCIATURA(0)
Degree date
1978
Final grade
18 valores
Degree granting institution
Universidade de Lisboa
School / College / Campus
Faculdade de Ciências
Thesis title
Supervisor
Cosupervisor
Scientific area
Profissional activity
Period  Position  Institution 

10052008  03062011  Diretor  Centro Internacional de Matemática 
2007  Member  Centro de Matemática e Aplicações Fundamentais/FCUL 
20042006  Member/Researcher  CMUCCentro de Matemática da Universidade de Coimbra 
1999 Present  Coordinating Editor  Interfaces and Free Boundaries  Journal 
1991  Present  Editorial Board  Portugaliae Mathematica  Journal 
1991 Present  Editorial Board  Advances in Mathematical Sciences and Applications  Journal 
19962005  Member of the Scientific Committee  European PostDoctoral Institute for the Mathematical Sciences 
1993Present  Member of the ScientificMuseologic Committee  Science Museum of the University of Lisbon 
199397  Chairman of the Steering Committee  FBP Scientific Program/European Science Foundation 
199294  Member  ASI/NATO Scientific Panel 
199094  VicePresident  Portuguese Mathematical Society, delegate at the EMS 
198994 / 19982002  Director  CMAFCentro de Matemática e Aplicações Fundamentais/Univ. Lisbon 
01012003  31122010  Presidente  Comissão Nacional de Matemática/IMU 
Area of scientific activity
Area of scientific activity
Matemática
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 NonNewtonian 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), cosupervised by L.Santos
Postdoctoral fellows mentored at CMAF/Univ. Lisbon:
N.Chemetov, from Univ. Novosibirsk, 199192 (Fund. C.Gulbenkian fellowship)
J.Liang, from Univ. Suzhou, 199294 (Fund.Oriente fellowship)
S.Clain, from Ec.Polytec.Fed.Lausanne, 199596 (European Science Foundation fellowship)
N. Igbida, from Univ. Franche Conté (Bésançon), 199899 (CMAF/ULFCT fellowship)
Namkwon Kim, from Univ. Seoul, 19992000 (CMAF/ULFCT fellowship)
T Shilkin, from Steklov Math. Inst. St.Petersburg, 2002 (CMAF/ULFCT fellowship)
F Chalub, from IMPA, Rio de Janeiro, 200304(CMAF/POCTIproject fellowship)
Hugo Tavares, 201112 University of Lisbon (FCT fellowship)
Maria Astudillo, 2013 from University of Coimbra (FCT fellowship)
Participations in R&D projects
A Coordination of research projects:
198688 Project nº ST2J01735P, SCIENCECEE/Univ. Lisboa (local PI), Mathematical Models of Phase Transitions and Numerical Simulation, Univ.Augsburg (K.H.Hoffmann, global PI);
198790 Projecto nº 87046 (Programa mobilizador) JNICT/CMAFINIC: Mudanças de Fase em Mecânica Não Linear (PI);
199093 Projecto nº 43/M/P/90 “Programa Ciência”, JNICT/CMAFINIC/UL: Laboratório de Matemática Computacional (Medida M) Apoio às Infraestruturas Informáticas do Complexo II (Medida P), (PI);
199394 Stride Proj.437.02 de apoio ao Laboratório de Matemática Computacional, Universidade de Lisboa (PI);
199395 Project “Mathematics as an Industrial Resource”, coordinated by Oxford University, EEC/Human Capital and Mobility (local PI);
199397 ESF/FBP Scientific Programme Mathematical Treatment of Free Boundary Problems, European Science Foundation, (coproposer and global coordinator);
199899 Project Praxis/2/2.1/MAT/125/94 Análise local e global das equações diferenciais. Fundamentos e aplicações (PI);
199700 INTAS 960835 Mathematical problems in nonlinear mechanics of solids and fluids (local PI), Univ. Saarland (M Fuchs, global coordinator).
199801 Programatic FCT Funding of Centro de Matemática e Aplicações Fundamentais, Universidade de Lisboa (PI).
200104 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
http://www.mat.uc.pt/mpt2013/
B Organization of Conferences, Summer Courses and other Meetings:
1987  International Colloquium Anastácio da Cunha (17441787), the Mathematician and the Poet, Lisbon, Portugal
1988  European Workshop on Mathematical Models for Phase Change Problems, Óbidos, Portugal
1990  National Meeting SPM/19401990, 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  LusoChinese Symposium on Nonlinear Evolution Equations and Applications, Macao, China
1999 – Thematic Semester (MarchOctober) on Nonlinear Partial Differential Equations and Applications
http://npde99.lmc.fc.ul.pt/ 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, LisbonParisVienna, (Historical Aspects, component held in Portugal and general coordination)
2000  International Conference in the framework of the WMY2000 on Mathematics and its Role in Civilization, Macao, China
2000  EuroSummer CIMCIME 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 710 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 712 June 2005 in Coimbra, Portugal.
2006 – Workshop on Communicating Mathematics in the Digital Era, held in 1518 August 2006 in Aveiro, Portugal.
2007  JEMTN Workshop on “e+CalculuS”, held in 810 February 2007, in Lisbon.
2007 – CIMUM Summer School on”Topics in Nonlinear PDEs”, held in 2227 July 2007, in Coimbra, Portugal.
2007 – International Conference on The Future of Mathematical Education in Europe, held in 1718 December 2007, in Lisbon, Portugal.
2008 – EIMI (Educational Interfaces between Mathematics and Industry ) IPCommittee Meeting, held in 25 October 2008 in Óbidos, Portugal.
2009 – The Mathematics of Darwin Legacy, 2324 November, Lisbon, Portugal
2010 – Educational Interfaces between Mathematics and Industry, ICMI/ICIAM Study conference, Lisbon 1115 October.
2011– Elementary Geometry from an Advanced Point of View, 13 September, Aveiro, Portugal
2014  Progress in Nonlinear Partial Differential Equations, Lisbon, 2931 May.
CPublic Awareness of Mathematics:
2000  Coordination 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 http://alem3d.obidos.org/en/
200104 Coauthor 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 – CIMRPA/EMS Workshop, Óbidos, Portugal, 2629 September
2010 – Idea and Conception of LPDUHW, 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 Coordination of a Mathematical Exhibition at the Museu Nacional de História Natural e da Ciência da ULisboa http://www.formasformulas.org
2013  Rhumb Lines and Spirals/Loxodrómias e Espirais, an interactive application presented in Paris at the UNESCO session in April on the MPE2013
http://ptmat.fc.ul.pt/~formasformulas/interactive/loxo/index.html
Awards
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. 
Publications
Livros (autor)
 Obstacle Problems in Mathematical Physics, NorthHolland 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 290A (1980), 823825.
2) “Sur le comportement asymptotique de la solution et de la frontière libre d´une inéquation variationnelle parabolique”. Ann. Fac. Sc. Toulouse, 4 (1982), 263279.
4) (with M. Codegone) “Convergence of the coincidence set in the homogenization of the obstacle problem”, Ann. Fac. Sc. Toulouse 3 (1981), 275285.
5) (with M. Codegone) “On the homogenization of the rectangular dam problem”, Rend. Sem. Mat. Univ. Pol. Torino, 39 nº2 (1981), 125136.
6) “Free Boundary Convergence in the Homogenization of the One Phase Stefan Problem”. Trans. Amer. Math. Soc. 274 (1982), 297305.
7) (with M.Chipot) “On the steadystate continuous casting Stefan problem with nonlinear cooling”, Quaterly Appl. Math. 40 (1983), 479491.
8) “On the dam problem with boundary leaky condition”, Portugaliae Math., 39 (1980), 399411.
9) “Stabilité de la frontière libre dans le problème de la digue”. C.R. Acad. Sc. Paris, 294I (1982), 565568.
10) “On the stability of the free boundary in the obstacle problem for a minimal surface”, Portugaliae Math., 41 (1982) 463480.
12) “Some remarks on the asymptotic behaviour of strong solutions to monotone parabolic variational inequalities”, Rendiconti di Matematica, (VII) 4 (1984), 458470.
13) “On the stability of the obstacle plateau problem on locally pseudoconvex domains”, Astérisque (SMF) 118 (1984), 211218.
14) “Some remarks on the homogenization of the dam problem”, manuscripta mathematica, 46 (1984), 6582.
15) (with D. Kröner) “Global behaviour for bounded solutions of a porous media equation of ellipticparabolic type”, J. Math. Pures et Appl. 64 (1985), 105120.
17) “On a class of parabolic unilateral problems”, Nonlinear Analysis, Th. Meth. & Appl. 10 (1986), 13571366.
18) “A steadystate BoussinesqStefan problem with continuous extraction”. Annali Mat. Pura ed Applicata (IV) 144 (1986), 203218.
19) “An evolutionary continuous casting problem of Stefan type”, Quaterly Appl. Math. 44 (1986), 109131.
20) (with B. Louro) “Remarks on the quasisteady one phase Stefan problem”, Proc. Royal Soc. Edinburg, 102A (1986), 263275.
21) “Strong stability results for the evolution obstacle problem with Neumann condition” Le Matematiche (Catania) XL (1985), 2944.(1988)
22) “On the variational inequality approach to the one phase Stefan problem”, “Acta Aplicandae Mathematica”, 8 (1987),135.
23) “A unilateral thermoelastic Stefantype problem”, Portugaliae Math., 45 (1988), 91103.
26) (with M.Chipot) “Comparision and stability of solutions to a class of quasilinear parabolic problems”, Proc. Royal Soc. Edinburg, 110A (1988), 275285.
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), 251267.
31) (with P. Colli) “A perturbation problem related to the highly compressible behaviour of a fluid in a thin layer”, Applicable Anal., 33 (1989), 191201.
33) (with P. Colli) “Diffusion through thin layers with high specific heat”, Asymptotic Anal., 3 (1990), 249263.
34) (with Yi Fahuai) “On a twophase continuous casting Stefan problem with nonlinear flux”, European J. Appl. Math. 1 (1990), 259278.
37) (with M. Chipot)”On a class of nonlocal nonlinear elliptic problems”, RAIRO Modél. Math.Anal.Numér., 26 (1992) 447468.
38) (with P. Colli) “Hyperbolic perturbation problems involving time derivatives on the boundary”, Forum Mathematicum, 3 (1991), 205218.
39) “Remarks on the Reynolds problem of elastohydrodynamic lubrication”, European J. Appl. Math., 4 4 (1993), 8396.
40) “On a quasivariational inequality arising in semicondutor theory”, Rev. Mat. Univ. Complutense Madrid, 5 (1992), 137151.
41) (with B. Zaltzman) “On classical solutions of the twophase steadystate Stefan problem in strips”, Nonlinear Analysis, Th. Meth. & Appl. 19 (1992), 207218.
43) “A nonlinear parabolic system arising in thermomechanics and in thermomagnetism”, Math. Models & Meth.Appl. Sci., 2 (1992), 271281.
45) (with S.Howison & M.Shillor) “Stationary solutions to the thermistor problem”, J. Math. Anal. Appl. 174 (1993), 573588.
48) (with A. Bossavit) “On the electromagnetic induction heating problem in bounded domains”, Adv. Math. Sci. Appl. 3 (1994), 7992.
50) (with Li TaTsien & Zhu Chen) “Limit behaviour of solutions to a class of nonlinear and nonlocal boundary value problems”, Asymptotic Analysis 9 (1994) 297310.
51) (with Liang Jin) “Existence of solutions for quasilinear weakly coercive elliptic variational inequalities”, J.Partial Diff.Eqs. 8 (1995), 205210.
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), 131141.(also J.Math. Sci. (new York) 93 (1999),n.5, 711718).
58) (with Liang Jin) “Quasilinear elliptic problems with nonmonotone discontinuities and measure data”, Portugaliae Math. 53 (1996) 239252.
59) (with B. Zaltzman), “Regular Solutions of a Stefan Problem in Strips”, Annali di Matematica pura ed applicata (IV) CLXXII (1997),165189.
60) (with N. Chemetov), “A Class of Nonlinear elliptic problems with nonconvex constraints and applications”, Proc. Edinburgh Math. Soc. 41 (1998), 333357.
61) (with J.M.Urbano), “On the stationary BoussinesqStefan problem with constitutive powerlaws”, Int. J. NonLinear Mechanics 33 (1998), 555566.
63) (with S.Clain), “Local classical solutions for a chemical system with free boundary”, Differential and Integral Equations, 13 (2000), 903920.
64) (with J.M.Urbano), “On a DarcyStefan problem arising in freezing and thawing of saturated porous media”, Cont. Mech. Thermodyn.11 (1999), 181191.
65) (with J.M.Urbano), “Degenerate Elliptic problems in a class of free domains”, J. Math.Pures et Appl., 78(1999), 819840.
69) (with M. Kunze) “A n elliptic quasivariational inequality with gradient constraints and some of its applications”, Math. Methods Appl. Sci., 23 (2000), 897908.
70) (with A.V. Ivanov),”Generalized solutions of a problem with an obstacle for quasilinear ellipticparabolic equations”(Russian), Algebra I Analiz 11 (1999), 79122, transl in St.Petersburg Math. J., 11, (2000), n.3 457484.
71) (with A.V. Ivanov),”Existence and uniqueness of a weak solution to the initial mixed boundary value problem for quasilinear ellipticparabolic equations”. Zap. Nauchn. Sem. S.Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 259 (1999), Kraev. Zadachi Mat. Fiz. i Smezh. Vopr. Teor. Funkts. 30, 6788, 297; translation in J. Math. Sci. (New York) 109 (2002), no. 5, 18511866.
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), 6195.
73) (with D.Hilhorst) “On a nonlocal diffusion equation with discontinuous reactions”, Adv. Differential Equations 5 (2000), 657680.
76) (with L.Santos) “A parabolic quasivariational inequality arising in a superconductivity model. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)29(2000), no.1, 153169.
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), 427438.
79) “On the hyperbolic obstacle problem of first order.” Chinese Ann. Math. Ser. B 23 (2002), 253266.
81) (with L.Consiglieri) “On Stationary Flows with Energy Dependent Nonlocal Viscosities” Zap. Nauchn. Sem. S.Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 295 (2003), 99117.
82) (with J.F.L.Silva) “On a unilateral reactiondiffusion system and a nonlocal evolution obstacle problem”, Comm.Pure Appl. Analysis, 3 (2004), 8595.
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), 153163.
84) (with L.Consiglieri and T.Shilkin) “On the NavierStokes Equations with EnergyDependent Nonlocal Viscosities”, Zap. Nauchn. Sem. S.Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 306 (2003), 7191.
85) “On Hyperbolic Variational Inequalities of First Order and Some Applications”, Monatsh. Math. 142 (2004) 157177.
86) “Stability remarks to the obstacle problem for the pLaplacian type equations” Calculus of Variations and PDE 23 (2005), 5165.
87) (with S.N. Antontsev) “On stationary thermorheological viscous flows” Annali Univ Ferrara Sez. VII Sci Mat, 52 (2006), 1936
89) (with L.Consiglieri and N. Kim) “On nonNewtonian fluids with phase transition” Math. Meth. Appl. Sci. 29 nº13 (2006), 15231541.
91) (with F. Chalub) Kinetic Models for Chemotaxis with Threshold, Portugaliae Math. 63(2) (2006), 227250.
92) (with A. Azevedo and L. Santos) “The Nmembranes problem for nonlinear elliptic degenerate systems” Interfaces and Free Boundaries 7 (2005), 319337
93) (with G. Bizhanova) “"On classical solutions for parabolic systems with a free boundary of Stefan type" Adv. Diff. Eq.s 10 (2005), 13451388.
97) (with M Sanchón and J.M. Urbano) “The obstacle problem for nonlinear elliptic equations with variable growth and L1data”, in Monatsh. Math. 154 (2008), 303322.
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), 353362.
99) (with L.Santos and J.M.Urbano) “The nonlinear Nmembranes evolution problem”, Zap. Nauchn. Sem. S.Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 362 (2008), 303324.
101) (with F. Miranda and L.Santos) “A class of stationary nonlinear Maxwell systems”, Math. Mod. Meth. Appl. Sci. 19 (2009), nº10, 18831905.
102) (with L.Santos) “On a constrained reactiondiffusion system related to multiphase problems”, Discr. Continuous Dyn. Syst. 25 (2009), nº1, 299319.
103) (with R. Teymurazyan) “On the two obstacles problem in OrliczSobolev spaces and applications", Complex Var. Elliptic Equ. 56 (2011), no. 79, 769–787.
104) (with S. Challal, A. Lyaghfouri) “On the AObstacle problem and the Hausdorff measure of its free boundary” Annali di Matematica Pura ed Applicata 191 (2012), nº1, 113165.
105) (with F. Miranda and L.Santos) “On a pcurl system arising in electromagnetism”, Discr.
Continuous Dyn. Syst, Series S, 5 nº3 (2012), 605629.
106) (with L.Santos) “Quasivariational Solutions for First Order Quasilinear Equations with
Gradient Constraint”, Arch. Rational Mech. Anal. 205 (2012), 493514.
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), 743762.
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) 359394.
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), 161192.
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), 8182.
113) (with F. Miranda) "On a Variational Inequality for Incompressible NonNewtonian 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 ObstacleType with Two Phases”,
St. Petersburg Math. J. 27 (2016), no. 3, 495–508.
115) (with P. Amorim and W. Neves) "The obstaclemass 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), 125134.
11) (with Marco Codegone) “Homogenization of the dam problem with layer structure”, Research Notes in Mathematics (Pitman), 78 (1983), 98104.
16) “Aspects of the variational approach to the continuous casting problem”, Research Notes in Maths. (Pitman) 120(1985), 7283.
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) 303315.
28) “Some remarks on the quasilinear noncoercive elliptic obstacle problem”, in “Recent advances in nonlinear elliptic and parabolic problems”, Pitman Research Notes in Maths. (Longman) 208 (1989), 319332.
29) “Singular Perturbations in Obstacle Problems”, Proceedings BAILV, Shanghai Conf., ed. by B.Guo, J.Miller & Z.Shi, Boole Press, Dublin (1988), 299303.
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), 605612.
35) “On a steadystate twophase Stefan problem with extraction”, Int. Ser. Numer. Math. (Birkhäuser) 95 (1990), 229240.
36) “A steady state solidification problem for a nonNewtonian fluid”, Pitman Research Notes in Maths. (Longman) 186 (1990), 699702.
42) “Strong solutions for quasilinear ellipticparabolic problems with timedependent obstacles”, Pitman Research Notes in Maths. Ser. (Longman) 266 (1992), 7082.
46) “On the free boundary of a twophase Stefan problem with convection”, Pitman Research Notes in Maths. Ser. (Longman) 281 (1993), 143148.
52) (with B. Zaltzman) “Free boundary optimal control in the multidimensional Stefan problem”, Pitman Research Notes in Maths.Ser., (Longman) 323 (1995), 186194.
53) “Thermoconvection with dissipation of quasiNewtonian fluids in tubes”, in “NavierStokes Equations and Related Nonlinear Problems”, (A. Sequeira ed.), Plenum, New York, 1995, 279288.
56) (with L.Santos) “On the glacier kinematics with shallowice approximation”, Pitman Res. Notes Math. Series (Longman) 363 (1996), 254263.
62) “Steady state solutions to a multidimensional phase change problem in ground freezing”, in P.Argoul, M.Frémond & Q.S.Nguyen (Eds.) IUTAM Symposium on Variations of Domains and FreeBoundary Problems in Solid Mechanics, Kluwer Acad. Pub., Dordrecht, (1999), 17.
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) 237245.
67) “On a class of parabolic equations with nonlocal terms and applications”, in “Nonlinear evolution equations and applications”, (Macau 1998), World Scientific, Singapore, (1999), 191202.
68) (with J.Carvalho e Silva and C. Leal) “A noncoercive Volterra variational inequality arising in a HeleShaw problem”, in “Nonlinear evolution equations and applications”, (Macau 1998), World Scientific, Singapore, (1999), 110.
74) (with J.M.Urbano) “On a threedimensional convective Stefan problem for a nonNewtonian fluid” in Applied nonlinear analysis, Kluwer/Plenum, N. York (1999), 457468.
77) “On the evolution BoussinesqStefan problem for nonNewtonian fluids.” Free boundary problems: theory and applications, II (Chiba, 1999), GAKUTO Internat. Ser. Math. Sci. Appl., 14, Gakkotosho, Tokyo, (2000), 390397.
80) “Reactiondiffusion: from systems to nonlocal equations in a class of free boundary problems.” International Conference on ReactionDiffusion Systems: Theory and Applications (Kyoto, 2001). Surikaisekikenkyusho Kokyuroku No. 1249 (2002), 7289.
88) (with L.Consiglieri and T.Shilkin) “A limit model for unidirectional nonNewtonian flows with nonlocal viscosity”, in “Trends in Partial Differential Equations in Mathematical Physics”, Progress in Nonlinear Differential Equations and Their Applications, Vol 61, 3744. Birkhauser, Basel 2005
90) (with A. Azevedo and L. Santos) “Remarks on the two and three membranes problem”, Elliptic and Parabolic Problems, (Taiwan,. 2004), CC.Chen, M.Chipot and C.SLin (Eds., World Sci. Singapore (2005), 1933.
94) (with F. Chalub) “A short description of kinetic models for chemotaxis”, in “Partial Differential Equations and Applications”, . in pp 5968, "Hyperbolic problems and regularity questions", (M.Padula & L.Zanghirati, Ed.s) Trends in Mathematics, Birkhäuser, Basel, 2007.
95) (with L.Consiglieri) “Steadystate Bingham flow with temperature depedent nonlocal parameters and friction”, in Free boundary problems, 149157,. Ser. Numer. Math., 154, Birkhäuser, Basel, 2007.
96) (with A. Azevedo and L. Santos) “The Nmembranes problem with Neumann type boundary condition”, in Free boundary problems, 5564,. 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), 353362.
Outras publicações
 "Mathematics in Industry", CIM Bulletin, #25 (Dec 2008), 24.
"Portugaliae Mathematica and its Exchange Library", CIM Bulletin, #36 (March 2016), 49.
"Mathematics and Literature", CIM Bulletin, #37 (October 2016), 37.
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.572531.
32) “The Stefan problem revisited”, Int. Ser. Numer. Math. (Birkhäuser) 88 (1989), 129190.
44) “Weak solutions for thermoconvective flows of BoussinesqStefan type”, Pitman Research Notes in Maths.Ser., (Longman) 274 (1992), 93116.
47) (with M. Primicerio) “The HeleShaw problem with nonlocal injection condition”, Gakuto Int. Ser. Math. Sci. Appls. Vol. 2 (1993) 375390.
49) “Variational Methods in the Stefan Problem”, Lecture Notes in Mathematics #1584, Springer Verlag, Berlim, (1994), 147212.
54) “On some nonlocal elliptic unilateral problems and applications“, Nonlinear Analysis and applications”, Gakuto Int. Ser. Math. Sci. Appl., vol. 7 (Gakkotosho, Tokyo)(1996), 343360.
57) (with L.Santos) “Some Free Boundary Problems in Theoretical Glaciology”, in NATO ASI Series I: Global Environmental Change, No.48, SpringerVerlag, Heidelberg, 1997, pp.337365.
75) “On a new class of nonlocal unilateral problems in thermomechanics”. Lectures on applied mathematics (Munich, 1999), Springer, Berlin, (2000), 89101.
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 (17441787)  O matemático e o poeta”, (coeditor with M.L. Ferraz e L. Saraiva), Imprensa Nacional/Casa da Moeda, Lisboa , 1990.
3. “Mathematical Topics in Fluid Mechanics”, (coeditor with A. Sequeira), Pitman Research Notes in Maths. (Longman), 1992, ix+262 pp.
4. “Trends in Applications of Mathematics to Mathematics”, (coeditor with M.M. Marques), Longman, Harlow, 1995, viii+364 pp.
5. “Museums of Science and Technology”, (coeditor with M.A.A.Ferreira), Fundação Oriente, Lisboa, 1998, 192 pp.
6. “Free Boundary Problems, Theory and Applications”, (coeditor with I.Athanasopoulos and G.Makrakis), CRCPress, Boca Raton, 1999, xii+355 pp.
7. “Nonlinear evolution equations and applications”, (coeditor with Li Tatsien and Lin Longwei) World Scientific, Singapore, 1999, x+321 pp.
8. “Multimedia tools for communicating mathematics” (coedited with J. Borwein, M. H. Morales and K. Polthier), SpringerVerlag, Berlin, 2002. viii+314 pp+1 CDRom.
9. “Nexus IV: Architecture and Mathematics” (coedited with Kim Williams), KWBooks, Florence, 2002, 268 pp.
10. “Mathematics and Music. A Diderot Mathematical Forum”, (coedited with G.Assayag and H.GFeichtinger) SpringerVerlag, Berlin, 2002. xvii+288 pp.
11 “Mathematical Aspects of Evolving Interfaces”, (coedited with P. Colli) Lect. Notes in Mathematics, SpringerVerlag, Berlin, 2003
12 “Recent Advances in the Theory and Applications of Mass Transport”, (coedited with M.C.Carvalho), Contemporary Mathematics #353, American Mathematical Society, 2004.
13 “Trends in Partial Differential Equations in Mathematical Physics”, (coedited with G.Seregin and JM Urbano), Birkhauser, Basel 2005
14 “Free Boundary Problems, Theory and Applications”, (coeditor with I. Figueiredo and L.Santos), ISNM vol 154, Birkhauser, Basel 2007
15 “Communicating Mathematics in the Digital Era”, (coeditor with J. Borwein and E. Rocha), AKPeters, Wellesley, MA, 2008
16 Proceedings EIMI 2010 (Educational Interfaces between Mathematics and Industry), (coeditor with A Araújo, A Fernandes and A Azevedo, Centro Internacional de Matemática, Portugal and COMAP, Inc. Bedford, MA USA, ISBN10:1933223642.
17 “The Mathematics of Darwin’s Legacy”, coeditor with F. Chalub, Birkhauser, Basel 2011.
18 "Raising Public Awareness of Mathematics", coedited with E. Behrends and N. Crato), Springer, Berlin Heidelberg 2012
19 "Educational Interfaces between Mathematics and Industry", coedited with A. Damlamian and R. Strãsser, ICMIICIAM Study 20, Springer Int. Publ., Switzerland 2013
Communications
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, EQUADIFF87 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  PontàMousson, 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 HeleShaw 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, NSEQ8 Conference NavierStokes 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 ParisSud, France, Journée d’Analyse Non Linéaire
2007 – ICIAM  07 Minisymposium "FBPs and Their Applications", Zurich
– KH 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 NavierStokes 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