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

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Jiménez Casas, Ángela and Rodríguez Bernal, Aníbal (1999) Linear stability analysis and metastable solutions for a phase-field model. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 129 (3). 571-600 . ISSN 0308-2105

Official URL: http://journals.cambridge.org/abstract_S030821050002151X




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.


Item Type:Article
Uncontrolled Keywords:Transitions; Dynamics; Patterns; Limits; Change of variables
Subjects:Medical sciences > Biology > Biomathematics
ID Code:19839
Deposited On:07 Feb 2013 11:30
Last Modified:12 Dec 2018 15:07

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