Personal Data

Full name

Ana Cristina Melo e Sousa Albuquerque Barroso

Publishing name

Ana Cristina Barroso

Birthday

1967-04-16T00:00:00

Academic Degrees

DOUTORAMENTO(0)

Degree date

1994

Final grade

não se aplica

Degree granting institution

Outra

School / College / Campus

Faculdade de Ciências do Mar e do Ambiente

Thesis title

Supervisor

Co-supervisor

Scientific area

MESTRADO(0)

Degree date

1991

Final grade

não se aplica

Degree granting institution

Outra

School / College / Campus

Faculdade de Ciências do Mar e do Ambiente

Thesis title

Supervisor

Co-supervisor

Scientific area

Profissional activity

Period Position Institution
de Agosto de 1989 a Maio de 1991 Teaching Assistant Carnegie Mellon University, EUA
de Março de 1994 a Fevereiro de 1995 Assistente Estagiária Faculdade de Ciências da Universidade de Lisboa
de Fevereiro 1995 ao presente Professora Auxiliar Faculdade de Ciências da Universidade de Lisboa

Area of scientific activity

Area of scientific activity

Mathematics, calculus of variations

Specialization domain

Mathematics, calculus of variations

Current main scientific area

The main topic of my research concerns the study of existence of solutions of nonconvex variational problems.<br>The energy functionals involved can be used to describe<br>instability phenomena in materials science, such as phase transitions, the creation and propagation of microstructure and the development of defects, fracture and damage in materials.<br>The main areas of mathematics involved are calculus of variations, geometric measure theory and partial differential equations.

Other scientific activities

-

Experience as scientific advisor

Orientação da tese de Mestrado em Matemática para Professores com o título "Problemas de Máximos e Mínimos" do aluno Belmiro da Silva Ferreira, Dezembro de 2012.

Participations in R&D projects

Member of team:

POCTI/ISFL-1-209
Title: Análise local e global das equações
diferenciais. Fundamentos e aplicações, (from 2000).

Praxis nºPraxis/2/2.1/MAT/125/94
Title: Análise local e global das equações
diferenciais. Fundamentos e aplicações, (1996-1999).

Programa de Cooperação Científica e Técnica Luso-Francesa
nº166/B2, M.E.N.R.T./I.C.C.T.I.,
(ANLA-Universidade de Toulon/CMAF-UL)
Title: Analyse Variationelle Nonlinéaire, Modelation
Mécanique, (1996-2000).

European project nºHPRN-CT-2002-00284
Title: New materials, adaptive systems and their nonlinearities: modeling, control and numerical simulation.

PTDC/MAT/109973

UTA-CMU/MAT/0005/2009
Title: Fine structures, homogenization and multiple phase problems

Awards

Year Award Awarding entity

Publications

Publicações em actas de encontros científicos

  • A. C. Barroso, G. Croce and A. M. Ribeiro, On an isotropic differential inclusion, ICCSA 2009, The 3rd International Conference on Complex Systems and Applications, University of Le Havre, France, 2009.

Artigos em revistas de circulação internacional com arbitragem científica

  • A. C. Barroso, G. Croce and A. M. Ribeiro, Existence of solutions to a nonlinear problem involving isotropic deformations, J. Nonlinear Systems and Applications, 1 (2010), no. 3-4, 113-121.

    A. C. Barroso and J. Matias, An ill posed problem in SBV_0^2(\Omega), J. Convex Analysis, 17 (2010), no. 2, 357-380.

Artigos em revistas de circulação internacional com arbitragem científica

  • M. BAÍA, A. C. BARROSO, M. CHERMISI AND J. MATIAS, Coupled second order singular perturbations for phase transitions, Nonlinearity, 26 (2013), 1-41.

    A. C. BARROSO AND J. P. SILVA, Mutual inductance between piecewise-linear loops, American Journal of Physics, 81 (2013), 829-835.

    A. C. BARROSO, G. CROCE AND A. M. RIBEIRO, Sufficient conditions for existence of solutions to vectorial differential inclusions and applications, Houston Journal of Mathematics, 39 (2013), 929-967.

Publicações em actas de encontros científicos

  • M. BAÍA, A. C. BARROSO AND J. MATIAS, Singular perturbations for phase transitions, São Paulo Journal of Mathematical Sciences, Vol. 6 (2012), no.2, 1-18.

Artigos em revistas de circulação internacional com arbitragem científica

  • S. Bandyopadhyay, A. C. Barroso, B. Dacorogna and J. Matias<br>(2007), Differential inclusions for differential forms,<br>Calculus of Variations and Partial Differential Equations, 28, 449-469.<br><br>A. C. Barroso and J. Matias (2005),<br>Necessary and sufficient conditions for existence <br>of solutions of a variational problem <br>involving the curl, <br>Discrete and Continuous Dynamical Systems, Vol. 12, Number 1, 97-114.<br><br>A. C. Barroso and J. Matias (2002),<br>On a volume constrained variational problem in SBV2(W): Part I,<br>ESAIM: Control, Opt. and Calc. of Var. Vol.7, 223-237.<br><br>A. C. Barroso, I. Fonseca and R. Toader (2000), <br>A relaxation theorem in the space of functions of bounded deformation, <br>Ann. Scuola Norm. Sup. Pisa, Cl. Sci. (4) Vol. XXIX, 19-49.<br><br>A. C. Barroso, G. Bouchitté, G. Buttazzo and I. Fonseca (1996), <br>Relaxation of bulk and interfacial energies,<br>Arch. Rat. Mech. Anal. 135, 107-173.<br><br>A. C. Barroso and I. Fonseca (1994), <br>Anisotropic singular perturbations -- the vectorial case, <br>Proc. Royal Soc. Edin. 124 A, 527 - 571.<br>

Teses

  • Variational Methods for Phase Transitions, Carnegie Mellon<br>University, 1994.

Communications

Comunicações orais por convite

Isotropic Differential Inclusions, Workshop on Nonlinear Analysis and Variational Problems, University of Évora, 10-11 February 2011.

Comunicações orais por convite

Um modelo para transições de fase com dois campos que interagem na formação de interfaces, CMAF, Universidade de Lisboa, Portugal, Dezembro de 2014.

Comunicações orais por convite

Coupled second order singular perturbations for phase transitions, Universidade de Évora, Abril 2012.

Comunicações orais por convite

Problemas Variacionais envolvendo o rotacional e outras formas diferenciais, FCTUNL, Lisbon, Portugal, 19 November 2008.

Comunicações orais por convite

Differential inclusions and variational problems for differential forms, Calculus of Variations and its Applications: from Engineering to Economy, FCTUNL, Lisbon, Portugal, September 2008

Outras comunicações orais

A phase transition problem with anisotropic energy, Phase Transitions and<br>Surface Tension Workshop, Berlin, Germany, September 1996.<br><br>Transições de Fase - Modelos e Métodos do Cálculo das<br>Variações, Faculdade de Ciências da Universidade de Lisboa and<br>Instituto Superior Técnico, Portugal, December 1993.<br><br>Variational methods for phase transitions, Three Rivers Applied Math <br>Colloquium, Pennsylvania State University, USA, April 1993. <br>

Comunicações orais por convite

Differential inclusions for differential forms and applications to the calculus of variations,<br>Workshop on Calculus of Variations and Applications,<br>Instituto Superior Técnico, Lisbon, Portugal, September 2006.<br><br>Some relaxation results in BV and BD spaces, <br>École Polytechnique Fédérale de Lausanne, <br>Lausanne, Switzerland, November 2002.<br><br>Relaxation of nonconvex energies in the space of functions<br>of bounded deformation, <br>Summer School on Nonlinear Partial Differential Equations, Instituto Superior Técnico, Lisbon, Portugal, July 2001.<br><br>On a volume constrained variational problem in SBV2(W),<br>4th European Conference on Elliptic and Parabolic Problems,<br>Rolduc, The Nederlands, June 2001.<br><br>Um resultado de relaxação no espaço das funções de <br>deformação limitada, <br>CMAF and Instituto Superior Técnico, Lisbon, Portugal, April and May 2001.<br><br>Relaxation in the space of functions of bounded generalized strain, <br>Phase Field Models and Surface Effects Workshop, Cortona, Italy, September 1998.<br><br>A variational problem from the theory of ferromagnetism, <br>Université de Toulon et du Var, France, May 1997.<br><br>Variational methods for phase transitions, <br>CMAF, Lisbon, Portugal, June 1995.<br><br>Variational methods for phase transitions, <br>Symposium on Trends in Applications of Mathematics to Mechanics, Lisbon, Portugal, July 1994.<br><br><br><br>