paper

Second-Order -Limit for the Cahn-Hilliard Functional with Dirichlet Boundary Conditions, I

arXiv:2501.10452

Abstract

This paper addresses the asymptotic development of order 2 by the -convergence of the Cahn-Hilliard functional with Dirichlet boundary conditions. The Dirichlet data are assumed to be well separated from one of the two wells. In the case where there are no interfaces, it is shown that there is a transition layer near the boundary of the domain.

arXiv admin note: text overlap with arXiv:2501.09036

Second-Order $Γ$-Limit for the Cahn-Hilliard Functional with Dirichlet Boundary Conditions, I · wovepaper