Submitted Paper
Inserted: 21 jan 2025
Last Updated: 21 jan 2025
Pages: 57
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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