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arXiv · 2603.19767

Curved fronts of combustion reaction-diffusion equations

Wei-Jie Sheng·Xin-Tian Zhang
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Abstract

This paper is concerned with curved fronts of combustion reaction-diffusion equations in $\mathbb{R}^N$ $(N\geq2)$. By mixing finite planar fronts and constructing suitable super- and subsolutions, we prove the existence, uniqueness and stability of polytope-like curved fronts in $\mathbb{R}^N$. Besides, we show that these curved fronts are transition fronts.

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Wei-Jie Sheng, Xin-Tian Zhang. 2026-03-20. Curved fronts of combustion reaction-diffusion equations. https://arxiv.org/abs/2603.19767

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