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Metastable travelling-wave solutions of singularly-perturbed reaction-diffusion equations
Published online by Cambridge University Press: 01 August 1998
Abstract
This paper determines the asymptotic solution of certain initial-boundary value problems for singularly-perturbed reaction-diffusion equations, including the Allen–Cahn and Cahn–Hilliard equations, on bounded one-dimensional spatial domains for r[ges ]0. Attention is focused on the metastable evolution of a transition layer over an asymptotically exponentially-long time interval.
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- 1998 Cambridge University Press
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