Suppression of Chemotactic Singularity via Viscous Flow with Large Buoyancy
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929615971287040 |
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| author | Hu, Zhongtian |
| author_facet | Hu, Zhongtian |
| contents | In this work, we study the Keller-Segel-Navier-Stokes equation with low Reynolds number and subject to large buoyancy force. We show that for initial cell density with arbitrarily large mass (i.e. the $L^1$ norm), the solution remains regular for all times in the regime of sufficiently large buoyancy and viscosity. The major blowup suppression mechanism is a norm-stabilizing property possessed by a ``static problem,'' where the full problem can be seen as a perturbation of this quasi-stationary model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_10003 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Suppression of Chemotactic Singularity via Viscous Flow with Large Buoyancy Hu, Zhongtian Analysis of PDEs In this work, we study the Keller-Segel-Navier-Stokes equation with low Reynolds number and subject to large buoyancy force. We show that for initial cell density with arbitrarily large mass (i.e. the $L^1$ norm), the solution remains regular for all times in the regime of sufficiently large buoyancy and viscosity. The major blowup suppression mechanism is a norm-stabilizing property possessed by a ``static problem,'' where the full problem can be seen as a perturbation of this quasi-stationary model. |
| title | Suppression of Chemotactic Singularity via Viscous Flow with Large Buoyancy |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2311.10003 |