On a constrained reaction-diffusion system related to multiphase problems
Analysis of PDEs
2007-11-20 v1
Abstract
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.
Cite
@article{arxiv.0711.2814,
title = {On a constrained reaction-diffusion system related to multiphase problems},
author = {J. F. Rodrigues and L. Santos},
journal= {arXiv preprint arXiv:0711.2814},
year = {2007}
}
Comments
27 pages