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arXiv · 2508.15997

Regularity of the free boundary in an unstable parabolic problem

Mark Allen·Gilles Bokolo-Tamba
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Abstract

We study the free boundary in an unstable parabolic problem arising from a model in combustion. We consider the physical situation in which the heat advances and prove that the free boundary is a $C^{1,\alpha/2}$ hypersurface.

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Mark Allen, Gilles Bokolo-Tamba. 2025-08-21. Regularity of the free boundary in an unstable parabolic problem. https://arxiv.org/abs/2508.15997

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