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arXiv · 2001.06438

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

Maximilian Rauchecker
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Abstract

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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Maximilian Rauchecker. 2020-01-17. Strong solutions to the Stefan problem with Gibbs-Thomson correction and boundary contact. https://arxiv.org/abs/2001.06438

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