Personal Data

Full name

Lisa Maria de Freitas Santos

Publishing name

Lisa Maria de Freitas Santos

Birthday

1958-12-20T00:00:00

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

Co-supervisor

-

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

Co-supervisor

-

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

Co-supervisor

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

Co-supervisor

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(MAP-PDMA) since 2013

Director of Centre of Mathematics, University of Minho, 1997-1999, 1993-1995

Member of evalution panel of FCT/Pest Projects 2011/2012/2013 and of juries of FCT grants of MAP-PDMA

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
Co-supervisor: J. F. Rodrigues
Student: Fernando Miranda
Title: Electromagnetic problems related with non-linear 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
Co-supervisor: 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 Hahn-Mazurkiewicz
Student: Arminda Manuela Gonçalves
Year: 1995

Participations in R&D projects

Member of the FCTProject UT-Austin/MAT/0035/2008 - Analysis of Nonlinear Partial Differential Equations, projecto FCT, UT-Austin/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] Blow-up and finite time extinction for p(x, t)-curl systems arising in electromagnetism, J. Math. Anal. Appl. 440, No. 1 (2016) 300-322 (in collaboration with S. Antontsev and F. Miranda)

    [22] A two obstacles coupled problem, Nonlinear Anal. 120 (2015) 107-117 (in collaboration with A. Azevedo)

    [21] Solutions for linear conservation laws with gradient constraint, Portugal. Math. (N.S.) 72 2-3 (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 p-curl systems: blow-up and finite time extinction, Nonlinear Anal. 75 (2012), no. 9 (in collaboration with S. Antontsev and F. Miranda)

    [17] On a p-curl 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 measure-valued 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), 153-168 (in collaboration with A. Azevedo)

    [14] A class of nonlinear stationary Maxwell systems, Math. Models Methods Appl. Sci. 19 (2009), no. 10, 1883--1905, (in collaboration with F. Miranda and J. F. Rodrigues)

    [13] The nonlinear N-membranes evolution problem, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 362 (2008), Kraevye Zacachi Matematicheskoi Fiziki i Smezhnye Voprosy Teorii Funktsii. 39, 303--324, 367--368; 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 reaction-diffusion system related to multiphase problems, Discrete and Continuous Dynamical Systems 25(1) (2009), 299-319 (in collaboration with J. F. Rodrigues)

    [11] The nonlinear problem of two membranes, Rendiconti di Matematica, Série VII 26 (2006) 9 231-247

    [10] The N-membranes problem for quasilinear degenerate systems, Interfaces Free Bound. 7 (2005), nº 3, 319--337 (in collaboration with A. Azevedo and J. F. Rodrigues)

    [9] Convergence of convex sets with gradient constraint, J. Convex Anal. 11 (2004), nº 2, 285--301(in collaboration with A. Azevedo)

    [8] Variational problems with non-constant gradient constraints, Portugaliae Mathematica Vol. 59 Fasc. 2 (2002) Nova Série, 205-248

    [7] A parabolic quasi-variational inequality arising in a superconductivity model, Annali di la Scuola Normale Superiore di Pisa, Serie IV, Vol. XXIX, Fasc 1 (2000), 153-169 (in collaboration with J. F. Rodrigues)

    [6] On a class of nonlinear high order variational inequality systems, Diff. and Int. Eq 6 6 (1993) 1519-1530 (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) 333-374

    [4] Strong solutions to elliptic and parabolic problems with quasilinear monotone discontinuities, Nonlinear Analysis, Theo., Meth. and Appl. 17 9 (1991) 811-824

    [3] A diffusion problem with gradient constraint and evolutive Dirichlet condition, Portugaliae Mathematica 48 4 (1991) 441-468

    [2] Asymptotic convergence in one phase continuous casting Stefan problem with high extraction velocity, IMA Journal of Appl. Math. 42 (1989) 251-267 (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) 109-125

Capítulos de livros


  • [1] Some free boundary problems in theoretical glaciology, The mathematics of models for climatology and environment (Puerto de la Cruz, 1995), 337-364, 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 7-12, 2005., edited by Isabel N. Figueiredo, José F. Rodrigues and Lisa Santos. International Series of Numerical Mathematics, 154, Birkhäuser Verlag, Basel, 2007
    ISBN: 978-3-7643-7718-2; 3-7643-7718-6


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", 353--362, GAKUTO Internat. Ser. Math. Sci. Appl., 29, Gakko-tosho, Tokyo, 2008, in collaboration with J. F. Rodrigues

    [8] The $N$-membranes problem with Neumann type boundary condition, "Free boundary problems", 55-64, 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", 19-33, World Sci. Publ., Hackensack, NJ, 2005, (in collaboration with A. Azevedo and J.F. Rodrigues)

    [6] A parabolic variational inequality with non-constant gradient constraint, "Nonlinear evolution equations and their applications" (Macau, 1998), 203-212, World Sci. Publishing, River Edge, NJ, 1999

    [5] On the glacier kinematics with the shallow-ice approximation, "Free boundary problems, theory and applications", (Zakopane, 1995), 254-263, 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), 126-144, Kluwer Acad. Publ., Dordrecht, 1996

    [3] Diffusion with gradient constraint and evolutive Dirichlet condition," Emerging applications in free boundary problems" (Montreal, PQ, 1990), 202-206, 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), 788-792, 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), 389-400, 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] STAMM-94 - Symposium on trends in applications of mathematics to mechanics, Lisbon, Portugal, July 1994

[6] First european conference on elliptic and parabolic problems, Pont-à-Mousson, 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 (Minho-Aveiro), University of Aveiro, January 2010

[5] "O problemas das N-membranas 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) - CIM-WIAS 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 critical-state 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] Luso-chinese 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 Curl-p(x,t) - existence, blow-up and finite time extintion", CMAT, Universty of Minho, Braga, March 2014

[12] "Elliptic quasi-variational inequalities with gradient constraint and nonhomogeneous boundary condition", CIMA (Research Centre in Mathematics and Applications), University of Évora, May 2013

[11] "Quasi-variational solutions for scalar conservation laws with gradient constraint", Seminars of the START Project Interfaces and Free Boundaries, University of Graz, February 2012

[10] "Quasi-variational solutions to first order quasilinear equations with gradient constraint'', University of Pau, December 2010

[9] "Variational and quasi-variational 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 quasi-variational 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 quaise-variational 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