Work

Second-order $$\Gamma $$-limit for the Cahn–Hilliard functional with dirichlet boundary conditions, I

Year: 2025

Type: article

Abstract: This paper addresses the asymptotic development of order 2 by the $$\Gamma $$ 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.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-025-03164-6

Authors: Irene Fonseca, Leonard Kreutz, Giovanni Leoni

Institutions: Carnegie Mellon University, Technical University of Munich

Language: English

Topic: Solidification and crystal growth phenomena

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: National Science Foundation, Deutsche Forschungsgemeinschaft, Technische Universität München