Work

Curved fronts of combustion reaction-diffusion equations

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2603.19767

Authors: Sheng, Wei-Jie, Zhang, Xin-Tian

Institution: Harbin Institute of Technology

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Awards: G36370111, G4160198612, G8773985260

OpenAlex ID: W7140086969

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