Free boundary regularity in nonlinear one-phase Stefan problem

Yamin Wang

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arXiv · 2404.06712

Free boundary regularity in nonlinear one-phase Stefan problem

Yamin Wang

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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 $C^{1, \alpha}$ in space and time. When the operator is concave (or convex) and smooth, the free boundary is smooth.

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Yamin Wang. 2024-04-10. Free boundary regularity in nonlinear one-phase Stefan problem. https://arxiv.org/abs/2404.06712

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