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Long-time dynamics of the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary conditions

Garcke, Harald ; Knopf, Patrik ; Yayla, Sema



Abstract

We consider a Cahn-Hilliard model with kinetic rate dependent dynamic boundary conditions that was introduced by Knopf et al. (2021) and will thus be called the KLLM model. In the aforementioned paper, it was shown that solutions of the KLLM model converge to solutions of the GMS model proposed by Goldstein et al. (2011) as the kinetic rate tends to infinity. We first collect the weak ...

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