Personal Data

Full name

João Paulo de Carvalho Dias

Publishing name

João Paulo Dias

Birthday

1944-11-18T00:00:00

Academic Degrees

DOUTORAMENTO(0)

Degree date

1971

Final grade

Très Honorable

Degree granting institution

Outra

School / College / Campus

Other

Thesis title

Une classe de problèmes variationnels non linéaires de type elliptique ou parabolique

Supervisor

Jacques-Louis Lions

Co-supervisor

-

Scientific area

Matemática

AGREGAÇÃO(4)

Degree date

1975

Final grade

Unanimidade

Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title

-

Supervisor

Jacques-Louis Lions

Co-supervisor

-

Scientific area

Matemática

DOUTORAMENTO(4)

Degree date

1971

Final grade

n/a

Degree granting institution

Outra

School / College / Campus

Other

Thesis title

Une classe de problèmes variationnels non linéaires de type elliptique ou parabolique

Supervisor

Jacques-Louis Lions

Co-supervisor

-

Scientific area

Matemática

Profissional activity

Period Position Institution
18-11-2014 - Professor Catedrático Jubildado da Faculdade de Ciências da Universidade de Lisboa e Investigador do CMAF-CIO,com contrato de colaboração com a FCUL, sendo Professor Emérito da Faculdade de CIências da Universidade de Lisboa desde 15 de Junho de 2016. Faculdade de Ciências da Universidade de Lisboa
01-12-1979 - 17-11-2014 Professor Catedrático Faculdade de Ciências da Universidade de Lisboa
Junho de 1976 a Novembro de 1979 Professor Extraordinário Faculdade de Ciências da Universidade de Lisboa
Outubro de 1972 a Junho de 1976 Investigador Instituto de Alta Cultura
Outubro de 1971 a Setembro de 1972 Bolseiro do Instituto de Alta Cultura Instituto de Física e Matemática
Outubro de 1967 a Setembro de 1971 Bolseiro da Fundação Gulbenkian Faculdade de Ciências de Paris /Universidade de Paris VI
Outubro de 1966 a Setembro de 1967 Bolseiro da Fundação Gulbenkian Centro de Estudos Matemáticos de Lisboa

Area of scientific activity

Area of scientific activity

Matemática- Equações com Derivadas Parciais

Specialization domain

Equações com Derivadas Parciais

Current main scientific area

Sistemas Hiperbólicos Quaselineares e Equações da Física Matemática

Other scientific activities

Equações de Evolução Semilineares

Experience as scientific advisor

Orientação de onze seminários de licenciatura em Matemática na FCUL.
Orientação de uma tese de mestrado em Matemática na FCUL.
Co-orientação de nove teses de doutoramento em Matemática na FCUL, seis das quais foram essencialmente apoiadas por investigadores franceses.
Supervisão de três bolsas de pós-doutoramento no CMAF, duas em colaboração.

Participations in R&D projects

Equações Hiperbólicas e Aproximação Numérica , PMCT, JNICT, 1988 e 1989(coordenador).
Sistemas Hiperbólicos e Equações Cinéticas, PMCT, JNICT,Dezembro 1990 a Setembro 1994(coordenador).
Participação como membro integrado do CMAF/UL no Financiamento Base 2008-ISFL-1-209.
Participação no Projecto do CMAF/UL , PEstOe/MAT/UI0209/2011 da FCT.
Participação no Projecto PTDC/MAT/110613/2009 da FCT.
Participação no Projeto UID|MAT/04561/3013 da FCT.

Awards

Year Award Awarding entity
2007 Eleição como Sócio da Academia das Ciências de Lisboa Academia das Ciências de Lisboa
2000 Grau de Grande Oficial da Ordem de Santiago da Espada Presidência da República Portuguesa
1988 Prémio Gulbenkian de Ciencia e Tecnologia Fundação Gulbenkian
1972 Prémio Artur Malheiros, Ciencias Matemáticas Academia das Ciencias de Lisboa

Publications

Artigos em revistas de circulação internacional com arbitragem científica

  • 72-(with M.Figueira and H. Frid). Vanishing viscosity with short wave long wave interactions for systems of conservation laws.
    Arch. Rat. Mech. Anal., 196 (2010), 981-1010.

    73-(with M.Figueira and F.Oliveira). Existence of bound states for the coupled Schrodinger-KdV system with cubic nonlinearity.
    C.R. Acad. Sci. Paris, Ser. I, 348 (2010), 1079-1082.

    74-(with M.Figueira and F.Oliveira). Well-posedness and existence of bound states for a coupled Schrodinger-gKdV system.
    Nonlinear Analysis, T.M.A., 73 (2010), 2686-2698.

    75-(with S.Antontsev, M.Figueira and F.Oliveira). Nonexistence of global solutions for a quasilinear Benney system.
    J. Math. Fluid Mechanics, 13 (2011), 213-222 and Erratum, Ibidem, 13 (2011), 307.

    76- (with M.Figueira and H.Frid). Vanishing viscosity with short wave long wave interactions for multi-d scalar conservation laws.
    J. Diff. Eq., 251 (2011), 492-503.

    77- (with H.Frid). Short wave-long wave interactions for compressible Navier-Stokes equations.
    SIAM J. Math. Analysis, 43 (2011), 764-787.

    78- (with M.Figueira and F.Oliveira). On the Cauchy problem describing an electron-phonon interaction.
    Chin. Ann. Math., 32 B (2011), 483-496.

    79- (with P.Amorim). A nonlinear model describing a short wave-long wave interaction in a viscoelastic medium.
    Quart. Appl. Math., 71(2013),417-132.

    80-(with P.Amorim, M.Figueira and Ph. LeFloch). Thel linear stability of shock waves for the Nonlinear Schrodinger-Inviscid Burgers system.
    J. Dyn. Diff. Eq.,25 (2013), 49-69.

    81-(with M.Figueira). On the blowup of solutions of a Schrodinger equation with an inhomogeneous damping coefficient.
    Comm. Contemp. Math.,16(2014),1350036-1350046.

    82-(with S.Antontsev and M.Figueira). Complex Ginzburg-Landau equation with absorption: existence, uniqueness and localization properties.
    J. Math. Fluid Mechanics, 16(2014), 211-223.

    83-(with T.Cazenave and M.Figueira). Finite-time blow-up for a complex Ginzburgh-Landau equation with linear driving.
    J. Evolution Eq.,14 (2014), 403-415.

    84-(with M.Figueira, V. Konotop and D. Zezyulin). Supercritical blowup in coupled parity-time-symmetric nonlinear Schrodinger equation.
    Studies in Appl. Math.,133 (2014), 422-440.

    85-(with M.Figueira and F.Oliveira). Existence and linearized stability of solitary waves for a quasilinear Benney system.
    Proc. Royal Soc. of Edinburgh, Section A, 146 (2016), 547-564.

    86-(with M.Figueira and V. Konotop). The Cauchy problem for a coupled nonlinear Schrodinger equations with linear damping: Local and global existence and blowup of solutions.
    Chin. Ann. Math. B, 37 (2016), 665-682.

    87-(with M.Figueira and V. Konotop). Coupled nonlinear Schrodinger equations with a gauge potential: existence and blowup.
    Studies in Appl. Math., 136 (2016), 241-262.

    88-(with F.Oliveira). On a quasilinear non-local Benney system.
    J. Hyperbolic Diff. Eq., 14 (2017), 135-156.





















Outras publicações

  • 6- Hugo Beirão da Veiga: Lisbon and Pisa forever.
    J. Math. Fluid Mech., 7 (2005), suppl.2, S128-S129.

Capítulos de livros

  • (with M.Figueira). On the uniqueness of the weak solutions of a quasilinear hyperbolic system with a singular source term.
    Frontiers in Mathematical Analysis and Numerical Methods, In Memory of Jacques-Louis Lions, Li Tatsien Editor, World Scientific, 2004, 131-141.

Artigos em revistas de circulação internacional com arbitragem científica

  • 31 - (with M. Figueira). Conservation laws and time decay for the solutions of some nonlinear Schrodinger-Hartree equations and systems.
    J. of Math. Anal. and Appli., 84 (1981), 486-508.

    32 - (with T. Cazenave and M.Figueira). A remark on the decay of the solutions of some Schrodinger equations.
    Rend. Sem. Mat. Univ. Pol. Torino, 40 (1982), 129-137.

    33 - (with M.Figueira). On the decay of the solutions of some nonlinear Schrodinger equations.
    Portug. Math., 41 (1982), 33-41.

    34 - (with M.Figueira). Décroissance à l´infini de certaines solutions avec énergie positive de l´équation de Schrodinger - Hartree.
    C.R. Acad. Sci. Paris, Série I, 296 (1983), 381-384.

    35 - (with M. Figueira). On the decay of the solutions of some linear Schrodinger equations.
    Rend. Sem. Mat. Univ. Pol. Torino, 42 (1984), 77-85.

    36 - (with M. Figueira). Remarks on the bound states of the Dirac equation with Coulomb potential.
    Rend. Sem. Mat. Univ. Pol. Torino, 44 (1986), 25l-261.

    37 - (with M. Figueira). Time decay for the solutions of a nonlinear Dirac equation in one space dimension.
    Ricerche di Matematica, 35 (1986), 309-316.

    38 - (with M. Figueira). Global existence of solutions with small initial data in Hs for the massive nonlinear Dirac equation in three space dimensions.
    Boll. Uni. Mat. Ital., (7) 1-B (1987), 861-874.

    39 - (with M. Figueira). Sur l´existence d´une solution globale pour une équation de Dirac non linéaire avec masse nulle.
    C.R. Acad.Sci.Paris, Série I, 305 (1987), 469-472.

    40 - (with M. Figueira). Remarque sur le problème de Cauchy pour une équation de Dirac non linéaire avec masse nulle.
    Portug. Math., 145 (1988), 327-335.

    41 - (with M. Figueira). On the existence of weak solutions for a nonlinear time dependent Dirac equation.
    Proc. Royal Soc. of Edinburgh, Section A, 113 (1989), 149-158.

    42 - (with M. Figueira). Solutions faibles du problème de Cauchy pour certaines équations de Dirac non linéaires.
    Portug. Math., 46 (1989), 475-484.

    43 - (with M. Figueira). Non-existence of bound states for a nonlinear Dirac equation.
    Houston J. of Math., 16 (1990), 53-58.

    44 - (with M. Figueira). On the existence of a global solution of the Cauchy problem for a Klein-Gordon-Dirac system.
    J. Math. Pures et Appli., 70 (1991), 75-85.

    45 - (with M. Figueira). On the existence of weak solutions for a semilinear singular hyperbolic system.
    Revista Mat. Univ. Compl. Madrid, 4 (1991), 137-146.

    46 - (with M. Figueira). The simplified Wheeler-DeWitt equation: the Cauchy problem and some spectral properties.
    Ann. Inst. Henri Poincaré, Phys. Théorique, 54 (1991), 17-26.

    47 - (with M. Póvoas) A variant of the Euler-Poisson-Darboux equation arising in quantum gravity.
    C.R. Acad. Sci. Paris, Série I, 315 (1992), 169-173.

    48 - (with M. Figueira). The Cauchy problem for a nonlinear Wheeler-DeWitt equation.
    Ann. Inst. Henri Poincaré, Analyse non linéaire, 10 (1993), 99-107.

    49 - (with H. Berestycki, M.J. Esteban and M.Figueira). Eigenvalue problems for some nonlinear Wheeler-DeWitt operators.
    J.Math.Pures Appl., 72 (1993), 493-515.

    50 - (with M. Figueira). On a singular limit for a class of solutions of the simplified Wheeler-DeWitt equation with a massless single scalar field.
    Rend. Mat. Appl., 13 (1993), 529-542.

    51 - (with M. Figueira and J. Rauch). Scattering for a one-sided Klein- Gordon equation in quantum gravity.
    Ann. Inst. Henri Poincaré, Phys.Théorique, 61 (1994), 75-86.

    52 - (with M. Figueira). On a class of solutions for the simplified Wheeler-DeWitt equation with a massless single scalar field.
    Ricerche di Mat., 44 (1995),145-155.

    53 - (with M. Figueira). On the blow-up of the solutions of a quasilinear wave equation with a semilinear source term.
    Math. Meth. Appl. Sc., 19 (1996), 1135-1140.

    54 - (with M. Figueira). Existence d´une solution faible pour une équation d´ondes quasi-linéaire avec un terme de source semi-linéaire.
    C.R. Acad. Sci. Paris, Série I, 322 (1996), 619-624.

    55 - (with M. Figueira). A remark on the blow-up of the solutions of the equation u_t + f(x)a(u)u_x = h(x,u).
    Revista Mat. Univ. Compl. Madrid, 9 (1996), 385-391.

    56 - (with M. Figueira). On the stability of the weak solutions for a quasilinear equation with a semilinear source term.
    Adv. in Math. Sc. and Appl., 8 (1998), 229-240.

    57 - (with M.Figueira and L.Sanchez). On the existence of shock fronts for a Burgers equation with a singular source term.
    Math. Meth. Appl. Sc., 21 (1998), 1107-1113.


    58 - (with M.Figueira). Blow-up and global existence of a weak solution for a sine-Gordon type quasilinear wave equation.
    Boll. Uni. Mat. Ital., (8) 3-B (2000), 739-750.

    59 - (with M.Figueira). On the radial weak solutions of a conservative system modelling the isentropic flow.
    Rend. Mat. Appl., 21 (2001), 245-258.

    60 - On the existence of a global strong radial symmetric solution for a third order nonlinear evolution equation in two space dimensions.
    J. Math. Pures Appl., 80 (2001), 535-546.

    61 - (with M.Figueira). Local existence in C^0,1_b and blow-up of the solutions of the Cauchy problem for a quasilinear hyperbolic system with a singular source term.
    Bol. Soc. Brasil. Mat., 32 (2001), 343-357.

    62 - (with M.Figueira). A remark on the existence of global BV solutions for a nonlinear hyperbolic wave equation.
    Quart. Appl. Math., 60 (2002), 245-250.

    63 - (with Ph.LeFloch). Some existence results for conservation laws with source-term.
    Math. Meth. Appl. Sc., 25 (2002), 1149-1160.

    64 - (with M.Figueira). On the uniqueness of the weak solutions of a quasilinear hyperbolic system with a singular source term.
    Chin. Ann. Math., 23 B (2002), 317-324.

    65 - (with M.Figueira). On the Riemann problem for some discontinuous systems of conservation laws describing phase transitions.
    Commun. Pure Appl. Analysis, 3 (2004), 53-58.

    66 - (with M.Figueira and J.F.Rodrigues). Solutions to a scalar discontinuous conservation law in a limit case of phase transitions.
    J. Math. Fluid Mechanics, 7 (2005), 153-163.

    67 - (with M.Figueira). On the approximation of the solutions of the Riemann problem for a discontinuous conservation law.
    Bull. Braz. Math. Soc., 36 (2005), 115-125.

    68 - (with H.Frid). Radially symmetric weak solutions for a quasilinear wave equation in two space dimensions.
    J. Diff. Eq., 219 (2005), 306-322.

    69 - (with M.Figueira). On the viscous Cauchy problem and the existence of shock profiles for a p-system with a discontinuous stress function.
    Quart. Appl. Math., 63 (2005), 335-341.

    70 - (with M.Figueira).Existence of weak solutions for a quasilinear version of Benney equations.
    J.Hyperbolic Diff.Eq., 4 (2007), 555-563.

    71 - (with M.Figueira and F.Oliveira).Existence of local strong solutions for a quasilinear Benney system.
    C.R. Acad. Sci. Paris, Ser. I, 344 (2007), 493-496.

Artigos em revistas de circulação internacional com arbitragem científica

  • 1 - La régularité L^inf pour une classe d´équations et d´inéquations non linéaires du type elliptique.<br> C.R. Acad. Sci. Paris, Série A, 269 (1969), 14-17.<br><br>2 - La régularité L^inf et holderienne pour une classe d´inéquations non linéaires de type elliptique.<br> C.R. Acad. Sci. Paris, Série A, 271 (1970), 784-785.<br><br>3 - (with M. Sibony). Méthodes d´approximation pour certains problèmes non linéaires non homogènes.<br> J. Diff. Eq., 9 (1971), 182-204.<br><br>4 - (with M. Derridj). Le problème de Dirichlet pour une classe d´opérateurs non linéaires.<br> J. Math. Pures et Appli., 51 (1972), 219-230.<br><br>5 - Une classe de problèmes variationnels non linéaires de type elliptique ou parabolique. (Thèse ès Sciences, Paris, 19/3/1971).<br> Ann. Mat. Pura ed Appli., 92 (1972), 263-322.<br><br>6 - (with H. Beirão da Veiga). Continuité des solutions d´une inéquation parabolique.<br> C.R. Acad. Sci. Paris, Série A, 274 (1972), 192-193.<br><br>7 - (with H. Beirão da Veiga). Régularité des solutions d´une équation parabolique non linéaire avec des contraintes unilatérales sur la frontière.<br> Ann. Inst. Fourier, 22 (1972), 161-192.<br><br>8 - Une minoration sur la frontière de la solution d´une équation liée au problème de Signorini.<br> C.R. Acad. Sci. Paris, Série A, 274 (1972), 1909-1911.<br><br>9 - Estimations dans L^inf pour une classe de perturbations singulières.<br> J. of Math. Anal. and Appli., 41 (1973), 34-43.<br><br>10 - (with H. Beirão da Veiga). Sur l´existence et la régularité des solutions faibles d´une inéquation parabolique non linéaire.<br> J. Reine Angew. Math., 260 (1973), 181-199.<br><br>11 - Regularité L^inf pour la solution d´une équation parabolique non linéaire dégénérée.<br> J. of Math. Anal. and Appli., 44 (1973), 612-619.<br><br>12 - Sur la régularité de la solution faible d´une inéquation variationnelle non linéaire de type elliptique.<br> Boll. Uni. Mat. Ital., 8 (1973), 8-15.<br><br>13 - The solutions of a variational inequality as critical points of a real valued smooth function.<br> J. of Funct. Anal., 13 (1973), 73-76.<br><br>14 - Un théorème de Sturm-Liouville pour une classe d´opérateurs non linéaires maximaux monotones.<br> J. of Math. Anal. and Appli., 47 (1974), 400-405.<br><br>15 - (with H. Beirão da Veiga). Sur la surjectivité de certains opérateurs non linéaires liés aux inéquations variationnelles.<br> Boll. Uni. Mat. Ital., 10 (1974), 52-59.<br><br>16 - (with A.F. Abeasis and A. Lopes Pinto). Sur les valeurs propres du sous-différentiel d´une fonction convexe avec un noyau non borné.<br> C.R. Acad. Sci. Paris, Série A, 278 (1974), 1197-1199.<br><br>17 - Variational inequalities and eigenvalue problems for nonlinear maximal monotone operators in a Hilbert space.<br> American J. of Math., 97 (1975), 905-914.<br><br>18 - (with J. Hernández). A Sturm-Liouville theorem for some odd multivalued maps.<br> Proc. of the Am. Math. Soc., 53 (1975), 72-74.<br><br>19 - (with J. Hernández). Bifurcation à l´infini et alternative de Fredholm pour certains problèmes unilatéraux.<br> J. Math. Pures et Appli., 55 (1976), 189-205.<br><br>20 - (with J. Hernández). A remark on a paper by J.F. Toland and some applications to unilateral problems.<br> Proc. Royal Soc. of Edinburgh, Section A, 75 (1976), 179-182.<br><br>21 - Sur les équations d´évolution d´un nématique incompressible soumis à l´action d´un champ magnétique homogène.<br> C.R. Acad. Sci. Paris, Série A, 282 (1976), 71-74.<br><br>22 - Un système d´équations en rapport avec les équations d´évolution bidimensionnelles d´un cristal liquide nématique.<br> J. de Mécanique, 15 (1976), 697-709.<br><br>23 - Sur les équations couplées bidimensionnelles d´un cristal liquide nématique incompressible.<br> C.R. Acad. Sci. Paris, Série A, 285 (1977), 77-80.<br><br>24 - Sur l´existence et unicité de solutions d´un modèle approximé des équations d´évolution tridimensionnelles d´un cristal liquide nématique.<br> Ann. Scuola Norm. Sup. Pisa, 5 (1978), 1-13.<br> <br>25 - A simplified variational model for the bidimensional coupled evolution equations of a nematic liquid crystal.<br> J. of Math. Anal. and Appli., 67 (1979), 525-541.<br><br>26 - Un problème aux limites pour un système d´équations non linéaires tridimensionnel.<br> Boll. Uni. Mat. Ital., 16-B (1979), 22-31.<br><br>27 - On the existence of a strong solution for a nonlinear evolution system.<br> Nonlinear Analysis, T.M.A., 4 (1980), 139-144.<br><br>28 - (with D. Cioranescu). A time dependent coupled system related to the tridimensional equations of a nematic liquid crystal. <br> J. of Math. Anal. and Appli., 73 (1980), 252-266.<br><br>29 - (with M. Figueira). Décroissance à l´infini de la solution d´une équation non linéaire du type Schrodinger-Hartree.<br> C.R. Acad. Sci. Paris, Série A, 290 (1980), 889-892.<br><br>30 - (with A. Haraux). Smoothing effect and asymptotic behaviour for the solutions of a nonlinear time dependent system.<br> Proc. Royal Soc. of Edinburgh, Section A, 87 (1981), 289-303.<br>

Outras publicações

  • 1- Problèmes non linéaires motivés par les équations de Leslie pour les cristaux liquides nématiques incompressibles. <br> Rapport de Recherche nº 363 du Laboria (IRIA), 1979.<br><br>2- Equações Diferenciais I.<br> Textos e Notas, CMAF, nº 22, 1980.<br><br>3- Problémes nonlinéaires intervenant dans l´étude des cristaux liquides nématiques.<br> Nonlinear partial differential equations and their applications, Collège de France Semin., Vol. I, Pitman Res. Notes Math., 53 (1981), 127-134.<br><br>4- A massificação do Ensino. <br> A Educação e o Futuro, Imprensa Nacional-Casa da Moeda, 1999, 45-47.<br><br>5- Un parcours de trente quatre années.<br> Matapli, 66 (2001), 21-22. <br><br>

Publicações em actas de encontros científicos

  • 1- Nonlinear problems arising in the study of nematic liquid crystals.<br> Bifurcation Phenomena in Mathematical Physics and Related Topics, C. Bardos and D.Bessis (eds.), D.Reidel Publ. Comp.,1980, 535-550.<br><br>2- Time decay for the solutions of some nonlinear Schrodinger equations. <br> Trends and developments in the eighties, S.Albeverio and Ph. Blanchard (eds.), World Scientific, 1985, 130-138.<br><br>3- Time decay for positive energy solutions of some nonlinear Schrodinger equations.<br> Semi-groups, Theory and Applications, vol.I. Pitman Res. Notes Math., 141 (1986), 61-66. <br><br>4- (with T. Cazenave and M. Figueira). Propriétés des solutions de certaines équations d´évolution linéaires obtenues avec des techniques "non linéaires".<br> Proceedings of the "VII Congrés du Groupe de Mathématiciens d´Expression Latine", Coimbra, 1985, vol. 1, 31-42<br>

Artigos em revistas nacionais com arbitragem científica

  • On an eigenvalue problem for a nonlinear version of the Wheeler-DeWitt equation.<br>Mem. Acad. Ciências Lisboa, 33 (1993/94), 37-50.<br><br>

Capítulos de livros

  • (with M. Figueira). The Cauchy problem for the Dirac equation with cubic nonlinearity in three space dimensions.<br> New Methods and Results in Non-linear Field Equations. <br> Lecture Notes in Physics, Springer, 347 (1989), 71-78.<br><br>(with M.Figueira and L.Sanchez). Formation of singularities for the solutions of some quasilinear wave equations.<br> Equations aux dérivées partielles et applications, Articles dédiés à J.-L. Lions, Gauthier-Villars,1998, 453-460.<br><br>

Livros (editor)

  • Ph. Blanchard, J.P. Dias, J. Stubbe (eds.), New Methods and Results in Non-Linear Field Equations. Lecture Notes in Physics, 347, Springer-Verlag, 1989.

Teses

  • Une classe de problèmes variationnels non linéaires de type elliptique ou parabolique

Publicações em actas de encontros científicos

Livros (editor)

Artigos em revistas de circulação internacional com arbitragem científica

  • <br><br><br>

Communications

Comunicações orais por convite

33- “Existência de soluções para uma versão quasilinear das equações de Benney”.
Seminário de Análise-Centro de Matemática e Aplicações-FCT/UNL- Novembro de 2009.

34- "Some new results for a Schrodinger-gKdV system”
Encontro Nacional da SPM, ESTG, Leiria, 8-10 Julho, 2010.

35- “The Cauchy problem for an electron-phonon interaction”.
Conference on “Partial Differential Equations in Mathematical Physics and their Numerical Approximation”, Levico Terme (Trento), 5-9 Setembro, 2011.

36- “The Cauchy problem for an electron-phonon interaction”.
Seminario de Matemática Aplicada, Univ. Complutense, Madrid, 22 Junho 2012.

37- “The Cauchy problem for an electron-phonon interaction”.
4th IST-IME Meeting, IST, Lisboa, 3-7 Setembro, 2012.

38- "Solitary waves for a quasilinear Benney system: Existence and linearized stability”.
Conference “Progress in Nonlinear Partial Differential Equations”, Lisboa, 29-31 Maio, 2014.

39- “Elogio Histórico do Professor José Tiago de Oliveira”.
Academia das Ciências de Lisboa, 16 de Abril de 2015.

40- “Coupled nonlinear Schrodinger equations with a gauge potential”,
Workshop “Calculus of Variations and its Applications, Univ. Nova de Lisboa, Caparica, 17-19 Dezembro 2015.

41. "On a quasilinear non-local Benney system”,
6th IST-IME Meeting, IST, Lisboa, 5-9 Setembro, 2016.









Comunicações orais por convite

<br><br>1 - "Regularité L^inf pour une classe d´équations et d´inéquations non linéaires de type elliptique".<br> Faculdade de Ciências de Paris (Seminário de J.L. Lions e L. Schwartz) - Outubro de 1969.<br><br>2 - "Régularité holderienne pour une classe d´inéquations non linéaires de type elliptique" .<br> Universidade de Paris VI (Seminário de J. L. Lions e H. Brézis) - Fevereiro de 1971.<br><br>3 - "Régularité des solutions d´une inéquation parabolique non linéaire".<br> Journées d´analyse non linéaire de la Société Mathématique de France, Pau- Fevereiro de 1972.<br><br>4- "Régularité de la solution faible d´une inéquation variationnelle non linéaire de type elliptique".<br> Universidade de Paris VI (Seminário de J.L. Lions e H. Brézis) - Novembro de 1972.<br><br>5 - "Quelques résultats sur les valeurs propres d´opérateurs maximaux monotones".<br> Universidade de Paris VI (Seminário de J. L. Lions e H. Brézis) - Maio de 1973.<br><br>6- "Résultats d´existence et de surjectivité en rapport avec des problèmes de valeurs propres d´opérateurs maximaux monotones".<br> Universidade de Paris VI (Seminário de J.L. Lions e H. Brézis) - Março de 1974.<br><br>7- "Un modèle variationnel approximé pour les équations des cristaux liquides".<br> Universidade Livre de Bruxelas - Março de 1979.<br><br>8- "Un système non linéaire tridimensionnel issu des équations des cristaux liquides".<br> Universidade de Lovaina - Março de 1979.<br><br>9- "Problèmes non linéaires intervenant dans l´étude des cristaux liquides nématiques".<br> Collège de France (Séminaire de Mathématiques Appliquées) - Junho de 1979.<br><br>10- "Quelques problèmes non linéaires motivés par les équations des cristaux liquides".<br> Conferência realizada no "Meeting on Mathematical Problems in Continuum Mechanics", Trento - Janeiro de 1981.<br><br>11- "Décroissance à l´infini pour les solutions d´équations et systèmes non linéaires du type Schrodinger-Hartree".<br> Universidade de Paris XI (Orsay) (Seminário de L. Tartar e R.Temam) - Fevereiro de 1981.<br><br>12- "Comportement asymptotique d´équations du type Schrodinger-Hartree".<br> Universidade Autónoma de Madrid - Abril de 1983.<br><br>13- "Time decay for the solutions of some nonlinear Schrodinger equations".<br> Conferência realizada no "Bielefeld Encounters in Physics and Mathematics-V" - Setembro de 1983.<br><br>14- "Time decay for positive energy solutions of some nonlinear Schrodinger equations".<br> Seminário realizado no "Autumn Course on Semigroups and Applications", Trieste - Dezembro de 1984.<br><br>15- "Propriétés des solutions de certaines équations d´évolution linéaires obtenus avec des techniques "non linéaires" ".<br> Conferência proferida no "VII Congresso do Grupo de Matemáticos de Expressão Latina", Coimbra - Setembro de 1985.<br><br>16- "Existence globale de solution dans l´espace de Sobolev H^s pour des équations de Dirac non linéaires".<br> CMAP - École Polytechnique (Séminaire de Mathématiques Appliquées) - Junho de 1986.<br><br>17- "Non-existence of bound states for a nonlinear Dirac equation"<br> Seminário realizado no Research Month on "Nonlinear Fields", BiBos, Univ. Bielefeld - Julho de 1987.<br><br>18- "Le problème de Cauchy pour une équation de Wheeler-DeWitt non linéaire".<br> CMAP - École Polytechnique (Séminaire de Mathématiques Appliquées) - Abril de 1991.<br><br>19- "Une version non linéaire de l´équation de Wheeler-DeWitt simplifiée".<br> Séminaire du Labo. d´Analyse Numérique, CNRS et Université de Paris VI - Maio de 1991.<br><br>20- "Un problème de valeurs propres pour une vérsion non linéaire de l´équation de Wheeler-DeWitt". <br> CMAP - École Polytechnique (Séminaire de Mathématiques Appliquées) - Novembro de 1992.<br><br>21- "A simplified model for the Wheeler-DeWitt equation".<br> Universidade de Pisa - Dipartimento di Matematica - Novembro de 1992. <br><br>22- "Asymptotic behaviour for the solutions of a Klein-Gordon equation with an increasing, unbounded and positive potential".<br> Congresso "Navier-Stokes equations and related nonlinear problems"- Madeira - Maio de 1994.<br><br>23- "Asymptotic behaviour for the solutions of a Klein-Gordon equation with an increasing, unbounded and positive potential".<br> Universidade de Pisa - Dipartimento di Matematica - Setembro de 1994. <br><br>24- "Formation of singularities, existence and stability of weak solutions for a quasilinear wave equation".<br> International Conference on Applied Analysis, IST, Lisboa-Fevereiro de 1997.<br><br>25- "Formation de singularités, existence et stabilité des solutions faibles pour une équation d´ondes quasi-linéaire".<br> CMAP-École Polytechnique (Séminaire de Mathématiques Appliquées)-Junho de 1997.<br> <br>26- "Quelques questions sur la formation de singularités pour des équations quasi-linéaires".<br> CMAP-École Polytechnique (Séminaire de Mathématiques Appliquées)-Outubro de 1998.<br><br>27- "Solutions faibles d´un système hyperbolique quasi-linéaire avec un terme de source singulier".<br> CMAP-École Polytechnique (Séminaire de Mathématiques Appliquées)-Outubro de 1999.<br><br>28- "On the weak solutions of a quasilinear hyperbolic system with a singular source term".<br> Universidade de Pisa-Dipartimento di Matematica Applicata-Setembro de 2001.<br><br>29- " Phase transitions and discontinuous scalar conservation laws".<br> Int. Workshop on Nonlinear PDE : Theory and Applications, Funchal, 26-28 Junho, 2003.<br><br>30- "The Cauchy problem for an hyperbolic system with a singular source term". EMS Math Weekend (Session on Nonlinear Evolution Equations), Lisboa, 12-14 Setembro, 2003.<br><br>31- "Phase transitions and discontinuous conservation laws". Encontro Nacional da SPM, ISEP, Porto, 5-8 Maio, 2004.<br><br>32- "Some results on discontinuous conservation laws". Univ.Pisa-Dipartimento di Matematica Applicata-Junho de 2005.<br><br><br><br><br><br>