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Type: Artigo de periódico
Title: A mathematical analysis of a nonisothermal Allen-Cahn type system: error estimates
Author: Vaz, CLD
Boldrini, JL
Abstract: In this article, under certain conditions, we prove the regularity for the solutions of an AllenCahn phase-field type system obtained as limits of approximate solutions constructed by using a semidiscrete spectral Galerkin method. With the help of this improved regularity, as one compares to previous results, we then derive error estimates for the approximate solutions in terms of the inverse of the eigenvalues of the Laplacian operator. The system under investigation may model the evolution of solidification or melting of certain binary alloys. Copyright (c) 2012 John Wiley & Sons, Ltd.
Subject: Allen-Cahn system
phase transitions
binary alloy
Country: EUA
Editor: Wiley-blackwell
Rights: fechado
Identifier DOI: 10.1002/mma.2505
Date Issue: 2012
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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