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Linear stability analysis and metastable solutions for a phase-field model

Published online by Cambridge University Press:  14 November 2011

A. Jiménez-Casas  and
A. Rodríguez-Bernal
A. Jiménez-Casas
Affiliation:
Departamento de Matemática Aplicada y Computatión, Universidad Pontificia Comillas de Madrid, Departamento de Matemática Aplicada, Universidad Politécnica de Madrid, Spain
A. Rodríguez-Bernal
Affiliation:
Departamento de Matemática Aplicada, Universidad Complutense de Madrid 28040, Madrid, Spain
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Abstract

We study the linear stability of equilibrium points of a semilinear phase-field model, giving criteria for stability and instability. In the one-dimensional case, we study the distribution of equilibria and also prove the existence of metastable solutions that evolve very slowly in time.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 3 , 1999 , pp. 571 - 600
Copyright
Copyright © Royal Society of Edinburgh 1999

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