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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| Accès en ligne: | https://arxiv.org/abs/2605.17114 |
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| _version_ | 1866911691682349056 |
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| author | Kong, Fanze Lai, Chen-Chih Tawri, Krutika |
| author_facet | Kong, Fanze Lai, Chen-Chih Tawri, Krutika |
| contents | We consider a stochastic Keller-Segel-Navier-Stokes system in $R^2$ describing the collective motion of cells in an ambient stochastic fluid flow, where the cells are attracted by a chemical substance and transported by the ambient fluid velocity, and the fluid motion is self-consistently driven by forces induced by the cells. We prove the existence of a unique mild solution globally-in-time to the two-dimensional stochastic Keller-Segel-Navier-Stokes system with subcritical mass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_17114 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Global Well-posedness of the 2D Stochastic Self-consistent Keller-Segel-Navier-Stokes System with Subcritical Cellular Mass Kong, Fanze Lai, Chen-Chih Tawri, Krutika Analysis of PDEs 35B99, 35A01, 35M12 We consider a stochastic Keller-Segel-Navier-Stokes system in $R^2$ describing the collective motion of cells in an ambient stochastic fluid flow, where the cells are attracted by a chemical substance and transported by the ambient fluid velocity, and the fluid motion is self-consistently driven by forces induced by the cells. We prove the existence of a unique mild solution globally-in-time to the two-dimensional stochastic Keller-Segel-Navier-Stokes system with subcritical mass. |
| title | Global Well-posedness of the 2D Stochastic Self-consistent Keller-Segel-Navier-Stokes System with Subcritical Cellular Mass |
| topic | Analysis of PDEs 35B99, 35A01, 35M12 |
| url | https://arxiv.org/abs/2605.17114 |