论文标题

Gibbs-Thomson校正和边界接触的Stefan问题的强大解决方案

Strong solutions to the Stefan problem with Gibbs-Thomson correction and boundary contact

论文作者

Rauchecker, Maximilian

论文摘要

我们证明了与Gibbs-Thomson定律对两相Stefan问题的强溶液的存在和独特性,其中自由接口与固定边界形成了90度接触角。我们还讨论了全球解决方案的存在和趋于平衡的融合。

We prove existence and uniqueness of strong solutions to the two-phase Stefan problem with Gibbs-Thomson law where the free interface forms a ninety degree contact angle with the fixed boundary. We also discuss existence of global solutions and convergence to equilibria.

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