EXISTENCE OF SOLUTIONS TO THE CAHN-HILLIARD/ALLEN-CAHN EQUATION WITH DEGENERATE MOBILITY
EXISTENCE OF SOLUTIONS TO THE CAHN-HILLIARD/ALLEN-CAHN EQUATION WITH DEGENERATE MOBILITY
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发表时间：
2016
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通讯作者：
Xiaoli Zhang;Changchun Liu
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作者：
Xiaoli Zhang;Changchun Liu
本文我们研究具有简并迁移率的 Cahn-Hilliard/Allen-Cahn 方程。在对简并迁移率和双阱势的适当假设下，我们证明了弱解的存在，该弱解可以通过考虑具有非简并迁移率的Cahn-Hilliard/Allen-Cahn方程的极限来获得。
This article we study the Cahn-Hilliard/Allen-Cahn equation with degenerate mobility. Under suitable assumptions on the degenerate mobility and the double well potential, we prove existence of weak solutions, which can be obtained by considering the limits of Cahn-Hilliard/Allen-Cahn equations with non-degenerate mobility.