22-03-2010
Quarta-feira, 24 de Março de 2010, 12 horas
Título: Constrained Reaction-Diffusion and Transport Systems: the N-membranes and Multiphase Problems
Orador: José Francisco Rodrigues, Universidade de Lisboa/CMAF
Local: Sala de Seminários, 2º piso, Edifício VII
Faculdade de Ciências e Tecnologia, Quinta da Torre, Caparica
Resumo: We analyse vector valued diffusion and transport equations with a class of constraints of unilateral and bilateral type. Using the variational inequality approach we characterize explicitly the associated Lagrange multipliers by reducing the problems to semi-linear systems coupled through the characteristic functions of the coincident sets of the N-membranes problem, analogously to the obstacle problem. In collaboration with Lisa Santos, we obtain new results to the system associated with the Gibbs simplex for multiphase problems. We also discuss the stability of the solutions and their coincident sets, in particular, the asymptotic behaviour in time for the respective evolution problems.
