April 9, 2024Open Access

Free boundary regularity in nonlinear one-phase Stefan problem

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Abstract

We study the regularity of the free boundary in one-phase Stefan problem with nonlinear operator. Using the Hodograph transform and a linearization technique, we prove that flat free boundaries are C^1, in space and time. When the operator is concave (or convex) and smooth, the free boundary is smooth.

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Yamin Wang (Tue,) studied this question.

synapsesocial.com/papers/68e6febab6db64358767907a https://doi.org/https://doi.org/10.48550/arxiv.2404.06712

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