Evaporation of droplets in the two-dimensional Ginzburg-Landau equation

J. Rougemont

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We consider the problem of coarsening in two dimensions for the real (scalar) Ginzburg-Landau equation. This equation has exactly two stable stationary solutions, the constant functions +1 and -1. We assume most of the initial condition is in the `-1' phase with islands of `+1' phase. We use invariant manifold techniques to prove that the boundary of a circular island moves according to Allen-Cahn curvature motion law. We give a criterion for non-interaction of two arbitrary interfaces and a criterion for merging of two nearby interfaces.

Original languageEnglish
Pages (from-to)267-282
Number of pages16
JournalPhysica D: Nonlinear Phenomena
Volume140
Issue number3
DOIs
Publication statusPublished - 15 Jun 2000

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