English

Second-Order $\Gamma$-limit for the Cahn-Hilliard Functional

Analysis of PDEs 2015-09-30 v2

Abstract

The goal of this paper is to solve a long standing open problem, namely, the asymptotic development of order 22 by Γ\Gamma-convergence of the mass-constrained Cahn-Hilliard functional. This is achieved by introducing a novel rearrangement technique, which works without Dirichlet boundary conditions.

Keywords

Cite

@article{arxiv.1503.07272,
  title  = {Second-Order $\Gamma$-limit for the Cahn-Hilliard Functional},
  author = {Giovanni Leoni and Ryan Murray},
  journal= {arXiv preprint arXiv:1503.07272},
  year   = {2015}
}
R2 v1 2026-06-22T09:01:30.513Z