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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.11521 |
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| _version_ | 1866909787190460416 |
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| author | Lam, King-Yeung Wu, Chang-Hong |
| author_facet | Lam, King-Yeung Wu, Chang-Hong |
| contents | In this paper, we investigate the location of the spreading front and convergence to traveling wave profile of solutions to the Fisher-KPP equation in the following two cases: (i) in unbounded domains with an expanding boundary; (ii) on the real line where the environment function has a shifting jump discontinuity. Our approach is based on extending ideas in Bramson's seminal work in 1983, and applying gluing technique to construct super/subsolutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11521 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the logarithmic correction of transition fronts in shifting environments Lam, King-Yeung Wu, Chang-Hong Analysis of PDEs 5B40, 35K57, 92D25 In this paper, we investigate the location of the spreading front and convergence to traveling wave profile of solutions to the Fisher-KPP equation in the following two cases: (i) in unbounded domains with an expanding boundary; (ii) on the real line where the environment function has a shifting jump discontinuity. Our approach is based on extending ideas in Bramson's seminal work in 1983, and applying gluing technique to construct super/subsolutions. |
| title | On the logarithmic correction of transition fronts in shifting environments |
| topic | Analysis of PDEs 5B40, 35K57, 92D25 |
| url | https://arxiv.org/abs/2509.11521 |