Curved fronts of combustion reaction-diffusion equations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918399941017600 |
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| author | Sheng, Wei-Jie Zhang, Xin-Tian |
| author_facet | Sheng, Wei-Jie Zhang, Xin-Tian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19767 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Curved fronts of combustion reaction-diffusion equations Sheng, Wei-Jie Zhang, Xin-Tian Analysis of PDEs 35B08, 35K15, 35K57 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. |
| title | Curved fronts of combustion reaction-diffusion equations |
| topic | Analysis of PDEs 35B08, 35K15, 35K57 |
| url | https://arxiv.org/abs/2603.19767 |