PUBLICATIONS:
Configurações de equilíbrio em cristais
elásticos; Tese de Mestrado, IST, 1989 (orientador M. Ricou)
On the Stefan problem with crystalline interfacial energy; PhD
thesis (orientador M. Gurtin), 1993
Gurtin, M. E. e J. Matias: Thermomechanics and the Formulation of the
Stefan Problem for Fully Faceted Interfaces - Quaterly of
Applied Mathematics, Vol. LIII, N.4, pgs. 761 a 782, Dezembro de
1995
Giga Y., M. E. Gurtin e J. Matias: On the Dynamics of Crystalline
Motions, Japan Journal of Industrial and Applied Mathematics,
Vol. 15, N 1, pgs. 7 a 50, Fev. de 1998
Barroso, A. C. e J. Matias: On a Volume Constrained Variational Problem
in SBV2: Part I, em ESAIM-COCV/2002
Barroso, A. C. e J. Matias: Necessary and Sufficient Conditions for
Existence of Solutions of a Variational Problem Involving the
Curl, Discrete and Continuous Dynamical Systems Series A.,
Janeiro de 2005.
S. Bandyopadhyay, A.C. Barroso, B. Dacorogna and J. Matias:
Differential inclusions for differential forms, Calculus of Variations
and Partial Differential
Equations, edição electrónica em Agosto de 2006
(ref. DOI 10.1007/s00526-006-0049-6).
Matias, J., Differential inclusions in SBV_0(\Omega) and
applications to the calculus of variations, Journal of Convex Analysis
14, (2007), Nº3
edição electrónica disponível,
(http://www.heldermann.de/JCA/JCA14/JCA143/jca14030.htm).
Matias, J. Necessary and sufficient conditions for existence of
solutions of a divergence- type variational problem,
São Paulo Journal of Mathematical Sciences Nº2,
2 (2008), 309-324.
Barroso, A. C. e J. Matias, On an Ill Posed Problem in
SBV^2_0(\Omega)
Journal of Convex Analysis 17 (2010), No. 2
Matias, J., Sufficient conditions for existence of solutions of a lower
dimensional variational problem
Aceite para publicação nos Proceedings do 2º
Encontro IST/IME ( São Paulo Journal of Mathematical Sciences ).
Artigos submetidos ou em preparação:
J. Matias e P. M. Santos, A
dimension reduction result in the framework of structured deformations,
M. Baía, J. Matias e P. M.Santos: A
relaxation result in the framework of structured deformations.
M. Baía, M. Chermisi, J.Matias e P. M. Santos: Lower
semicontinuity
for
signed functionals with linear growth in the context
of A-quasiconvexity.
M. Baía, A. C. Barroso, M. Chermisi e J. Matias: Coupled second order
singular perturbations for phase transitions.