On a constrained reaction-diffusion system related to multiphase problems

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dc.creatorRodrigues, J. F.
dc.creatorSantos, L.
dc.date2007-11-18
dc.date.accessioned2026-07-07T08:43:39Z
dc.date.available2026-07-07T08:43:39Z
dc.descriptionWe 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.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0711.2814
dc.identifierhttp://arxiv.org/abs/0711.2814
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142391
dc.subjectAnalysis of PDEs
dc.subject35R35, 49J40
dc.titleOn a constrained reaction-diffusion system related to multiphase problems
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