Stability of a class of supercritical volume-filling chemotaxis-fluid model near Couette flow
| Autor: | Wang, Lili, Wang, Wendong, Zhang, Yi |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Consider a class of chemotaxis-fluid model incorporating a volume-filling effect in the sense of Painter and Hillen (Can. Appl. Math. Q. 2002; 10(4): 501-543), which is a supercritical parabolic-elliptic Keller-Segel system. As shown by Winkler et al., for any given mass, there exists a corresponding solution of the same mass that blows up in either finite or infinite time. In this paper, we investigate the stability properties of the two dimensional Patlak-Keller-Segel-type chemotaxis-fluid model near the Couette flow $ (Ay, 0) $ in $ \mathbb{T}\times\mathbb{R}, $ and show that the solutions are global in time as long as the initial cell mass $M<\frac{2\pi}{\sqrt{3}} $ and the shear flow is sufficiently strong ($A$ is large enough). Comment: arXiv admin note: text overlap with arXiv:2405.10337 |
| Databáze: | arXiv |
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