Suppression of Chemotactic Blowup by Strong Buoyancy in Stokes-Boussinesq Flow with Cold Boundary
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866929377687633920 |
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| author | Hu, Zhongtian Kiselev, Alexander |
| author_facet | Hu, Zhongtian Kiselev, Alexander |
| contents | In this paper, we show that the Keller-Segel equation equipped with zero Dirichlet Boundary condition and actively coupled to a Stokes-Boussinesq flow is globally well-posed provided that the coupling is sufficiently large. We will in fact show that the dynamics is quenched after certain time. In particular, such active coupling is blowup-suppressing in the sense that it enforces global regularity for some initial data leading to a finite-time singularity when the flow is absent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04349 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Suppression of Chemotactic Blowup by Strong Buoyancy in Stokes-Boussinesq Flow with Cold Boundary Hu, Zhongtian Kiselev, Alexander Analysis of PDEs Mathematical Physics In this paper, we show that the Keller-Segel equation equipped with zero Dirichlet Boundary condition and actively coupled to a Stokes-Boussinesq flow is globally well-posed provided that the coupling is sufficiently large. We will in fact show that the dynamics is quenched after certain time. In particular, such active coupling is blowup-suppressing in the sense that it enforces global regularity for some initial data leading to a finite-time singularity when the flow is absent. |
| title | Suppression of Chemotactic Blowup by Strong Buoyancy in Stokes-Boussinesq Flow with Cold Boundary |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2309.04349 |