V-shaped transition fronts of monotone bistable reaction-diffusion systems in exterior domains
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915886656389120 |
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| author | Yan, Yang-Yang Sheng, Wei-Jie |
| author_facet | Yan, Yang-Yang Sheng, Wei-Jie |
| contents | This paper investigates the propagation phenomena of a monotone bistable reaction-diffusion system in an exterior domain of R2. By constructing suitable sub- and supersolutions, we establish the existence and monotonicity of an entire solution originating from a V-shaped traveling front. It is further shown that, under the complete propagation condition, this entire solution eventually recovers its V-shaped profile as time tends to infty after passing the obstacle. In particular, we show that the entire solution is a V-shaped transition front whose global mean speed coincides with the planar wave speed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22896 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | V-shaped transition fronts of monotone bistable reaction-diffusion systems in exterior domains Yan, Yang-Yang Sheng, Wei-Jie Analysis of PDEs This paper investigates the propagation phenomena of a monotone bistable reaction-diffusion system in an exterior domain of R2. By constructing suitable sub- and supersolutions, we establish the existence and monotonicity of an entire solution originating from a V-shaped traveling front. It is further shown that, under the complete propagation condition, this entire solution eventually recovers its V-shaped profile as time tends to infty after passing the obstacle. In particular, we show that the entire solution is a V-shaped transition front whose global mean speed coincides with the planar wave speed. |
| title | V-shaped transition fronts of monotone bistable reaction-diffusion systems in exterior domains |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.22896 |