Second Order Asymptotic Development for the Anisotropic Cahn-Hilliard Functional

2014/06/18 by Maso, Gianni Dal, Fonseca, Irene, Leoni, Giovanni · 1 citation
#35B25 #49J45 #49Q20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1406.4733

Abstract

The asymptotic behavior of an anisotropic Cahn-Hilliard functional with prescribed mass and Dirichlet boundary condition is studied when the parameter epsilon that determines the width of the transition layers tends to zero. The double-well potential is assumed to be even and equal to |s-1|^b near s=1, with 1<b></b>

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