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arxiv: 1705.00606 · v1 · pith:VKHKS3TVnew · submitted 2017-05-01 · 🧮 math.AP

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

classification 🧮 math.AP
keywords cahn--hilliardfunctionalgammanotesecond-orderanalarchassumptions
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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.

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