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arXiv · 0711.2814

On a constrained reaction-diffusion system related to multiphase problems

J. F. Rodrigues·L. Santos
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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.

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J. F. Rodrigues, L. Santos. 2007-11-18. On a constrained reaction-diffusion system related to multiphase problems. https://arxiv.org/abs/0711.2814

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