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Publication 15-CNA-006

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

Giovanni Leoni
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
giovanni@andrew.cmu.edu

Ryan Murray
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA, USA
rwmurray@andrew.cmu.edu

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.

Get the paper in its entirety as  15-CNA-006.pdf


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