Accepted Paper

Inserted: 21 jan 2025
Last Updated: 25 sep 2026

Journal: Calculus of Variations and Partial Differential Equations
Pages: 50
Year: 2025

Abstract:

This paper addresses the asymptotic development of order 2 by the Γ-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.

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