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

Authors
  • Leoni, Giovanni
  • Murray, Ryan
Type
Preprint
Publication Date
Aug 01, 2015
Submission Date
Mar 24, 2015
Identifiers
DOI: 10.1007/s00205-015-0924-4
Source
arXiv
License
Yellow
External links

Abstract

The goal of this paper is to solve a long standing open problem, namely, the asymptotic development of order $2$ by $\Gamma$-convergence of the mass-constrained Cahn-Hilliard functional. This is achieved by introducing a novel rearrangement technique, which works without Dirichlet boundary conditions.

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