# A Note Regarding Second-Order $\Gamma$-limits for the Cahn--Hilliard Functional

created by murray on 01 May 2017

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Inserted: 1 may 2017
Last Updated: 1 may 2017

Year: 2017

Abstract:

This note completely resolves the asymptotic development of order $2$ by $\Gamma$-convergence of the mass-constrained Cahn--Hilliard functional, by showing that one of the critical assumptions of the authors' previous work (Leoni, Murray, Second-order $\Gamma$-limit for the Cahn--Hilliard functional, Arch. Ration. Mech. Anal., 219, 3, 2016) is unnecessary.