Global existence and boundedness in an \(N\)-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion and rotation. (English) Zbl 1496.35330
A Keller-Segel-Navier-Stokes system with nonlinear diffusion, chemotaxis consumption and rather general tensor-valued sensitivity function is considered in bounded domains in two and three dimensions. Global-in-time existence of weak solutions is studied, and their boundedness. Results in this paper improve those in recent work [J. Zheng et al., Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 150, 46 p. (2022; Zbl 1493.35126)], by an application of a different method.
Reviewer: Piotr Biler (Wrocław)
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 35K55 | Nonlinear parabolic equations |
Keywords:
chemotaxis system; nonlinear diffusion; Navier-Stokes equations; tensor-valued sensitivity function; global solutionCitations:
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