# Science at the triple point between mathematics, mechanics and materials science

## Publication 108

### Second-Order Γ-limit for the Cahn-Hilliard Functional

##### Authors:

Giovanni Leoni
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213

Ryan Murray
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA, USA

##### Abstract:
The goal of this paper is to solve a long standing open problem, namely, the asymptotic development of order 2 by Γ-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
15-CNA-006.pdf

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