Personal Data
Full name
Lisa Maria de Freitas Santos
Publishing name
Lisa Maria de Freitas Santos
Birthday
19581220T00:00:00
Academic Degrees
AGREGAÇÃO(1)
Degree date
2005
Final grade
Unanimidade
Degree granting institution
Universidade do Minho
School / College / Campus
Escola de Ciências
Thesis title

Supervisor
José Francisco Rodrigues
Cosupervisor

Scientific area
Mathematics
DOUTORAMENTO(4)
Degree date
1990
Final grade
Unanimidade, Distinção e Louvor
Degree granting institution
Universidade de Lisboa
School / College / Campus
Faculdade de Ciências
Thesis title
Contribuições para o estudo de alguns problemas unilaterais (Contributions to the study of some unilateral problems)
Supervisor
José Francisco Rodrigues
Cosupervisor

Scientific area
Matemática, Análise, Equações de Derivadas Parciais
LICENCIATURA(5)
Degree date
1982
Final grade
17 valores
Degree granting institution
Universidade do Porto
School / College / Campus
Faculdade de Ciências
Thesis title

Supervisor
Cosupervisor
Scientific area
Matemática
BACHARELATO(3)
Degree date
1980
Final grade
16 valores
Degree granting institution
Universidade do Porto
School / College / Campus
Faculdade de Ciências
Thesis title

Supervisor
Cosupervisor
Scientific area
Matemática
Profissional activity
Period  Position  Institution 

30/05/2005   Professora Associada com Agregação e Nomeação Definitiva  University of Minho 
10/05/1998  30/09/2005  Professora Associada com Nomeação Definitiva  University of Minho 
10/05/1993  10/05/1998  Professora Associada  University of Minho 
11/04/1990  10/05/1993  Professora Auxiliar  University of Minho 
11/06/1986  11/04/1990  Assistente  University of Minho 
08/10/1984  11/06/1986  Assistente Estagiária  University of Minho 
08/10/1982  08/10/1984  Assistente Estagiária  University of Porto 
01/07/1981  08/10/1982  Monitora  University of Porto 
Area of scientific activity
Area of scientific activity
Mathematics  partial differential equations, variational and quasivariational inequalities and free boundary problems.
Specialization domain
Mathematics  partial differential equations
Current main scientific area
Regularity of solutions of systems of partial differential equations, of variational and quasivariational inequality systems. Stability of coincidence sets.
Other scientific activities
Director/member of the Scientific Committee  joint Doctoral Programme in Applied Mathematics, Univ. Minho, Aveiro, Porto(MAPPDMA) since 2013
Director of Centre of Mathematics, University of Minho, 19971999, 19931995
Member of evalution panel of FCT/Pest Projects 2011/2012/2013 and of juries of FCT grants of MAPPDMA
Member of external committee of the Agency for Assessment and Accreditation of Higher Education  A3ES  evaluated 1 PhD and 6 MSc courses 2011
Participation in diverse PhD juries
Referee activity for Abstr. Appl. Anal., Commun. Contemp. Math., Discrete Contin. Dyn. Syst.Series A, Interfaces Free Bound., Math. Methods Appl. Sci., Nonlinear Analysis, Math Reviews, Proceedings of FBP2005, Tamkang Journal of Mathematics, The Royal Society of Edinburgh: Proceedings A
Member of the organizing committee:
 Theme Session, International Conference FBP2017
 Workshop Encontro no Douro, 2010
 International Conference FBP2005
 VI workshop NAFBP1998
Experience as scientific advisor
PhD theses:
[1] PhD thesis in Mathematics
Cosupervisor: J. F. Rodrigues
Student: Fernando Miranda
Title: Electromagnetic problems related with nonlinear laws
Year: 2007
Professional position: Auxiliary Professor, Department of Mathematics and Applications, University of Minho.
MSc theses:
[6] MSc thesis in Mathematics, Continuous Training in Teaching
Cosupervisor: F. Miranda
Title: Hausdorff distance and Minkowsky's sausage"
Student: Lúcia Pinto
Year: 2012
[5] MSc thesis in Mathematics, Continuous Training in Teaching
Title: Study of properties of rectificable curves
Student: Helena Teixeira
Year: 2011
[4] MSc thesis in Mathematics, specialization in Teaching
Title: About the topology of euclidean spaces
Student: José Nuno Cunha
Year: 2006
[3] MSc thesis in Mathematics, specialization in Teaching
Title: Univalent functions and the Bieberbach conjecture
Student: Rogério Brochado Francisco
Year: 2004
[2] MSc thesis in Mathematics, specialization in Teaching
Title: Fixed point theorems
Student: Cacilda Paz
Year: 1998
[1] MSc thesis in Mathematics, specialization in Teaching,
Title: Connectness, the Cantor set and the Theorem of HahnMazurkiewicz
Student: Arminda Manuela Gonçalves
Year: 1995
Participations in R&D projects
Member of the FCTProject UTAustin/MAT/0035/2008  Analysis of Nonlinear Partial Differential Equations, projecto FCT, UTAustin/MAT/0035/2008, based in the University of Coimbra (ended on May 2013).
Member of the Project POCI/MAT/57546/2004  Nonlinear PDE´s: analysis and applications to Biology, based in the University of Coimbra.
Coordinator of the Pluriannual Finance Project of the Centre of Mathematics of the University of Minho, from October of 1997 to December of 1999 and in 1995.
Member of the Project PRAXIS/2/2.1/MAT/125/94, based in the Centre of Mathematics and Fundamental Applications (CMAF) of the University of Lisbon.
Member of the Project of JNICT  Free Boundary Problems and Singular Perturbations, based in the University of Lisbon, 1993/1995.
Awards
Year  Award  Awarding entity 

1982  Prémio Eng. António de Almeida  Fundação Eng. António de Almeida 
1982  Prémio Prof. Abílio Aires  Faculdade de Ciências do Porto 
1982  Prémio Prof. António Monteiro  Faculdade de Ciências do Porto 
Publications
Teses

[2] Contribuições para o estudo de alguns problemas unilaterais (Contributions to the study of some unilateral problems), PhD thesis, Faculty of Sciences of the University of Lisbon, 1990
[1] Aplicação de inequações variacionais em mecânica dos fluidos. Escoamentos planos (Application of variational inequalities in fluid mechanics. Fuid flows plan)  scientifc work for the Provas de Aptidão Pedagógica e Capacidade Científica, University of Minho, 1986
Artigos em revistas de circulação internacional com arbitragem científica

[24] Lagrange multipliers and transport densities, J. Math. Pures Appl. 108 (2017) 592–611 (in collaboration with A. Azevedo)
[23] Blowup and finite time extinction for p(x, t)curl systems arising in electromagnetism, J. Math. Anal. Appl. 440, No. 1 (2016) 300322 (in collaboration with S. Antontsev and F. Miranda)
[22] A two obstacles coupled problem, Nonlinear Anal. 120 (2015) 107117 (in collaboration with A. Azevedo)
[21] Solutions for linear conservation laws with gradient constraint, Portugal. Math. (N.S.) 72 23 (2015) 161{192 (in collaboration with J.F. Rodrigues)
20] Variational and quasivariational inequalities with first order constraints, J. Math. Anal. Appl. 397 (2013), no. 2, 738–756 (in collaboration with A. Azevedo and F. Miranda)
[19] Quasivariational solutions for first order quasilinear equations with gradient constraint, Arch. Ration. Mech. Anal. 205 (2012), no. 2, 493–514 (in collaboration with J. F. Rodrigues)
[18] A class of electromagnetic pcurl systems: blowup and finite time extinction, Nonlinear Anal. 75 (2012), no. 9 (in collaboration with S. Antontsev and F. Miranda)
[17] On a pcurl system arising in electromagnetism, Discrete Contin. Dyn. Syst. Ser. S 5 (2012), no. 3, 605–629 (in collaboration with F. Miranda and J. F. Rodrigues)
[16] A nonlinear hyperbolic Maxwell system using measurevalued functions, J. Math. Anal. Appl. 385 (2012), no. 1, 491–505 (in collaboration with F. Miranda)
[15] A difusion problem with gradient constraint depending on the temperature, Advances in Mathematical Sciences and Applications, 20 1 (2010), 153168 (in collaboration with A. Azevedo)
[14] A class of nonlinear stationary Maxwell systems, Math. Models Methods Appl. Sci. 19 (2009), no. 10, 18831905, (in collaboration with F. Miranda and J. F. Rodrigues)
[13] The nonlinear Nmembranes evolution problem, Zap. Nauchn. Sem. S.Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 362 (2008), Kraevye Zacachi Matematicheskoi Fiziki i Smezhnye Voprosy Teorii Funktsii. 39, 303324, 367368; translation in J. Math. Sci. (N. Y.) 159 (2009), no. 4, 559–572 (in collaboration with J. F. Rodrigues and J. M. Urbano)
[12] On a constrained reactiondiffusion system related to multiphase problems, Discrete and Continuous Dynamical Systems 25(1) (2009), 299319 (in collaboration with J. F. Rodrigues)
[11] The nonlinear problem of two membranes, Rendiconti di Matematica, Série VII 26 (2006) 9 231247
[10] The Nmembranes problem for quasilinear degenerate systems, Interfaces Free Bound. 7 (2005), nº 3, 319337 (in collaboration with A. Azevedo and J. F. Rodrigues)
[9] Convergence of convex sets with gradient constraint, J. Convex Anal. 11 (2004), nº 2, 285301(in collaboration with A. Azevedo)
[8] Variational problems with nonconstant gradient constraints, Portugaliae Mathematica Vol. 59 Fasc. 2 (2002) Nova Série, 205248
[7] A parabolic quasivariational inequality arising in a superconductivity model, Annali di la Scuola Normale Superiore di Pisa, Serie IV, Vol. XXIX, Fasc 1 (2000), 153169 (in collaboration with J. F. Rodrigues)
[6] On a class of nonlinear high order variational inequality systems, Diff. and Int. Eq 6 6 (1993) 15191530 (in collaboration with L. Jin)
[5] On the variational inequality approach to compressible flows via hodograph method, Revista Matematica de la Universidad Complutense de Madrid 6 2 (1993) 333374
[4] Strong solutions to elliptic and parabolic problems with quasilinear monotone discontinuities, Nonlinear Analysis, Theo., Meth. and Appl. 17 9 (1991) 811824
[3] A diffusion problem with gradient constraint and evolutive Dirichlet condition, Portugaliae Mathematica 48 4 (1991) 441468
[2] Asymptotic convergence in one phase continuous casting Stefan problem with high extraction velocity, IMA Journal of Appl. Math. 42 (1989) 251267 (in collaboration with J. F. Rodrigues)
[1] Variational convergence of a flow with wake in a channel past a profile, Bolletino U.M.I. (7) 2 (1988) 109125
Capítulos de livros

[1] Some free boundary problems in theoretical glaciology, The mathematics of models for climatology and environment (Puerto de la Cruz, 1995), 337364, NATO ASI Ser. Ser. I Glob. Environ. Change, 48, Springer, Berlin, 1997 (in collaboration with J. F. Rodrigues)
Livros (editor)

[1] Proceedings of the Conference on free boundary problems: theory and applications, Papers from the 10th Conference (FBP2005) held at the University of Coimbra, Coimbra, June 712, 2005., edited by Isabel N. Figueiredo, José F. Rodrigues and Lisa Santos. International Series of Numerical Mathematics, 154, Birkhäuser Verlag, Basel, 2007
ISBN: 9783764377182; 3764377186
Publicações em actas de encontros científicos

[10] Stationary quasivariational inequalities with gradient constraint and nonhomogeneous boundary condition, accepted for publication in 2013, Proceedings of the "Particle Systems and Partial Differential Equations Conference" (Springer), (in collaboration with A. Azevedo and F. Miranda)
[9] A unilateral multiphase problem with Neumann type boundary condition, "Nonlinear phenomena with energy dissipation", 353362, GAKUTO Internat. Ser. Math. Sci. Appl., 29, Gakkotosho, Tokyo, 2008, in collaboration with J. F. Rodrigues
[8] The $N$membranes problem with Neumann type boundary condition, "Free boundary problems", 5564, Internat. Ser. Numer. Math., 154, Birkhäuser, Basel, 2007, (in collaboration with A. Azevedo and J. F. Rodrigues)
[7] Remarks on the two and three membranes problem, "Recent advances in elliptic and parabolic problems", 1933, World Sci. Publ., Hackensack, NJ, 2005, (in collaboration with A. Azevedo and J.F. Rodrigues)
[6] A parabolic variational inequality with nonconstant gradient constraint, "Nonlinear evolution equations and their applications" (Macau, 1998), 203212, World Sci. Publishing, River Edge, NJ, 1999
[5] On the glacier kinematics with the shallowice approximation, "Free boundary problems, theory and applications", (Zakopane, 1995), 254263, Pitman Res. Notes Math. Ser., 363, Longman, Harlow, 1996, (in collaboration with J. F. Rodrigues)
[4] Variational limit of compressible to incompressible fluid, "Energy methods in continuum mechanics" (Oviedo, 1994), 126144, Kluwer Acad. Publ., Dordrecht, 1996
[3] Diffusion with gradient constraint and evolutive Dirichlet condition," Emerging applications in free boundary problems" (Montreal, PQ, 1990), 202206, Pitman Res. Notes Math. Ser., 280, Longman Sci. Tech., Harlow, 1993.
[2] Asymptotic convergences in fluid dynamics using variational inequalities  the compressible case, "Free boundary problems: theory and applications", Vol. II (Irsee, 1987), 788792, Pitman Res. Notes Math. Ser., 186, Longman Sci. Tech., Harlow, 1990
[1] A diffusion problem with gradient constraint, "Mathematical models for phase change problems" (Óbidos, 1988), 389400, Internat. Ser. Numer. Math., 88, Birkhäuser, Basel, 1989
Communications
Outras comunicações orais
Talks in conferences
[12] Calculus of variations and its applications, Almada, Portugal, December 2015
[11] 5th european conference on elliptic and parabolic problems, Italy, May 2004
[10] Meeting of the portuguese mathematical society, Coimbra, Portugal, May 2004
[9] Winter school on partial differential equations, Lisbon, Portugal, January 2003
[8] Meeting of the portuguese mathematical society, Coimbra, Portugal, February of 2002
[7] STAMM94  Symposium on trends in applications of mathematics to mechanics, Lisbon, Portugal, July 1994
[6] First european conference on elliptic and parabolic problems, PontàMousson, France, June 1991
[5] International colloquium on free boundary problems: theory and applications, Montreal, Canadá, June 1990
[4] Meeting of the portuguese mathematical society, Porto, Portugal, April 2002
[3] European workshop of phase change problems, Óbidos, Portugal, October 1988
[2] International colloquium on free boundary problems: theory and applications, Irsee, Germany, June 1987
[1] Meeting of the portuguese mathematical society, Porto, Portugal, April 1989
Some seminars
[6] "A nonlinear problem of membranes''  Seminar of the Doctoral Programme in Mathematics and Applications (MinhoAveiro), University of Aveiro, January 2010
[5] "O problemas das Nmembranas com dados dependentes do tempo'' CMAT (Centre of Mathematics), Universiity of Minho, November 2007
[4] "Convergência de conjuntos convexos com restrição no gradiente'' CMAT (Centre of Mathematics), University of Minho, December 2004
[3] "Um problema não linear de duas membranas'', CMAT (Centre of Mathematics), University of Minho, May 2000
[2] "Problemas ultraparabólicos'', CMAF (Centre of Mathematics and Fundamental Applications), University of Lisbon, July 1988
[1] "Inequações variacionais em mecânica dos fluidos'', CMAF (Centre of Mathematics and Fundamental Applications), University of Lisbon, May 1987
Comunicações orais por convite
Lectures and talks in conferences by invitation
[18] Mathematical Hydrodynamics and Parabolic Equations, St. Petesburg, Russia, September 2018 (in honour of Vsevolod Solonnikov on the occasion of his 85th birthday)  invited lecture
[17] Topics in Applied Analysis and Optimisation (Stochastic, Partial Differential Equations and Numerical Analysis)  CIMWIAS Workshop, Lisbon, Portugal, 2017  invited lecture.
[16] "Variational inequalities, Nash equilibrium problems and applications",Reggio Calabria, Italy, 2015  plenary lecture
[15] The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications", Madrid, Spain, 2014  invited talk in the Special Session "Mathematical Problems in Economics, Materials and Life Science: Analysis and Simulation of Nonlinear Multiscale Dynamics"
[14] Mathematical Hydrodynamics and Parabolic Equations, St. Petesburg, Russia, September 2013 (in honour of Vsevolod Solonnikov on the occasion of his 80th birthday)  invited lecture
[13] Particle systems and PDE's 2012, Braga, Portugal,December 2012  invited lecture
[12] 12th international conference on free boundary problems, Chiemsee, Germany, June 2012  invited talk in the Focus Session "free boundaries in criticalstate problems"
[11] Workshop on kinetics and statistical methods for complex particle systems, Lisbon, July 2009  invited lecture
[10] 1st iberic meeting of mathematics, Lisbon, February 2007  invited talk
[9] Free boundary problems: theory and applications, Coimbra, Portugal, June 2005  invited talk in the Focus Session about "obstacle problems"
[8] Conference on regularity of partial differential equations, Lisbon, Portugal, November 2001  plenary lecture
[7] Fourth european conference on elliptic and parabolic problems, Rolduc, Netherlands, June 2001  invited talk in the Focus Session about "variational inequalities"
[6] Interfaces in continuuous mechanics, Lisbon, March 1999  invited lecture
[5] Mathematical treatment of free boundary problems, Funchal, Janeiro 1999  invited lecture
[4] Lusochinese symposium, Macau, October 1998  invited lecture
[3] International conference on free boundary problems. theory and applications, Zakopane, Poland, June 1995  invited talk
[2] The mathematical models for climatology and environment, Tenerife, Spain, January 1995  two plenary lectures
[1] Energy methods for free boundary problems in continuum mechanics, Oviedo, Spain, March 1994  plenary lecture
Some invited seminars
[15] "Lagrange multipliers and transport densities"  CMAF (Centre of Mathematics and Fundamental Applications), University of Lisbon, October 2017
[14] "Problems with the operator Curl ( alpha(x) Curl .)"  CMAF (Centre of Mathematics and Fundamental Applications), University of Lisbon, September 2016
[13] "A class of electromagnetic problems using the operator Curlp(x,t)  existence, blowup and finite time extintion", CMAT, Universty of Minho, Braga, March 2014
[12] "Elliptic quasivariational inequalities with gradient constraint and nonhomogeneous boundary condition", CIMA (Research Centre in Mathematics and Applications), University of Évora, May 2013
[11] "Quasivariational solutions for scalar conservation laws with gradient constraint", Seminars of the START Project Interfaces and Free Boundaries, University of Graz, February 2012
[10] "Quasivariational solutions to first order quasilinear equations with gradient constraint'', University of Pau, December 2010
[9] "Variational and quasivariational inequalities with Curl constraint", CMA (Centre of Mathematics and Applications), University Nova de Lisboa, February and CMAF (Centre of Mathematics and Fundamental Applications), University of Lisbon, March 2011
[8] "Solutions of first order variational and quasivariational problem with gradient constraint", CMAF (Centre of Mathematics and Fundamental Applications), University of Lisboa, January 2011
[7] "Convergence of convex sets with gradient constraint'', CMUC (Centre of Mathematics), University of Coimbra, May 2004
[6] "About the equivalence between problems with gradient constraint'', Seminar of partial differential equations, Óbidos, May 2001
[5] "A nonlinear problem of two membranes'' CMUC (Centre of Mathematics), University of Coimbra, March 2000
[4] "Existence of solution of a quaisevariational inequality'', Seminar of partial differential equations, University of Beira Interior, Covilhã, October 1997
[3] "Partial differential equations'' Short course, CMUP (Centre os Mathematics), University of Porto, September 1996: 1. Notes on Functional Analysisl; 2. Partial differential equations; 3. Variational inequalities and free boundaries; 4. Some elliptic and parabolic problems; 5. Some parabolic and ultraparabolic problems
[2] "Problems with nonconstant gradient constraints'' CMAF (Centre of Mathematics and Fundamental Applications), University of Lisbon, April 1991
[1] "Elliptic and parabolic problems with quasilinear monotone discontinuities'' CMAF (Centre of Mathematics and Fundamental Applications), University of Lisbon, January 1990