Well-Posedness of Stochastic Chemotaxis System
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929574791610368 |
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| author | Chen, Yunfeng Zhai, Jianliang Zhang, Tusheng |
| author_facet | Chen, Yunfeng Zhai, Jianliang Zhang, Tusheng |
| contents | In this paper, we establish the existence and uniqueness of solutions of elliptic-parabolic stochastic Keller-Segel systems. The solution is obtained through a carefully designed localization procedure together with some a priori estimates. Both noise of linear growth and nonlinear noise are considered. The Lp Ito formula plays an important role. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01847 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Well-Posedness of Stochastic Chemotaxis System Chen, Yunfeng Zhai, Jianliang Zhang, Tusheng Probability 60H30, 65H15, 60H50, 35K55 In this paper, we establish the existence and uniqueness of solutions of elliptic-parabolic stochastic Keller-Segel systems. The solution is obtained through a carefully designed localization procedure together with some a priori estimates. Both noise of linear growth and nonlinear noise are considered. The Lp Ito formula plays an important role. |
| title | Well-Posedness of Stochastic Chemotaxis System |
| topic | Probability 60H30, 65H15, 60H50, 35K55 |
| url | https://arxiv.org/abs/2411.01847 |