Anomalous scaling for 3d Cahn-Hilliard fronts

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We prove the stability of the one dimensional kink solution of the Cahn-Hilliard equation under d-dimensional perturbations for d > 2. We also establish a novel scaling behavior of the large time asymptotics of the solution. The leading asymptotics of the solution is characterized by a length scale proportional to the cubic root of t instead of the usual square root of t scaling typical to parabolic problems.
34 pages, 4 figures

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Mathematical Physics, 35B40, 35K55

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http://salesiana.dossiersoluciones.com/handle/123456789/57646

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0402026
 http://arxiv.org/abs/math-ph/0402026

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arXiv