%0 Journal Article
%T On a constrained reaction-diffusion system related to multiphase problems
%A J. F. Rodrigues
%A L. Santos
%J Mathematics
%D 2007
%I arXiv
%X We solve and characterize the Lagrange multipliers of a reaction-diffusion system in the Gibbs simplex of R^{N+1} by considering strong solutions of a system of parabolic variational inequalities in R^N. Exploring properties of the two obstacles evolution problem, we obtain and approximate a N-system involving the characteristic functions of the saturated and/or degenerated phases in the nonlinear reaction terms. We also show continuous dependence results and we establish sufficient conditions of non-degeneracy for the stability of those phase subregions.
%U http://arxiv.org/abs/0711.2814v1