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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2405.06315 |
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| _version_ | 1866913092225466368 |
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| author | Mao, Xuan Liu, Meng Li, Yuxiang |
| author_facet | Mao, Xuan Liu, Meng Li, Yuxiang |
| contents | We show that for any nonnegative, radially symmetric and continuous initial datum with critical mass $8π$, Jäger-Luckhaus system in the unit disk, known as a parabolic-elliptic Keller-Segel model, admits a globally bounded classical solution. Moreover, it is asserted that the spatial constant equilibrium $8$ is globally and exponentially asymptotically stable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06315 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the $8π$ problem of Jäger-Luckhaus system Mao, Xuan Liu, Meng Li, Yuxiang Analysis of PDEs We show that for any nonnegative, radially symmetric and continuous initial datum with critical mass $8π$, Jäger-Luckhaus system in the unit disk, known as a parabolic-elliptic Keller-Segel model, admits a globally bounded classical solution. Moreover, it is asserted that the spatial constant equilibrium $8$ is globally and exponentially asymptotically stable. |
| title | A note on the $8π$ problem of Jäger-Luckhaus system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.06315 |