Some new bistable transition fronts with changing shape
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909169491116032 |
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| author | Guo, Hongjun Wang, Kelei |
| author_facet | Guo, Hongjun Wang, Kelei |
| contents | We construct entire solutions of bistable reaction-diffusion equations by mixing finite planar fronts, which form a finite-dimensional manifold. These entire solutions are generalized traveling fronts, that is, transition fronts. We also show their uniqueness and stability. Furthermore, we prove that transition fronts with level sets having finite facets are determined by finite planar fronts and they are in the class of entire solutions constructed by us. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09237 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some new bistable transition fronts with changing shape Guo, Hongjun Wang, Kelei Analysis of PDEs We construct entire solutions of bistable reaction-diffusion equations by mixing finite planar fronts, which form a finite-dimensional manifold. These entire solutions are generalized traveling fronts, that is, transition fronts. We also show their uniqueness and stability. Furthermore, we prove that transition fronts with level sets having finite facets are determined by finite planar fronts and they are in the class of entire solutions constructed by us. |
| title | Some new bistable transition fronts with changing shape |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.09237 |