Global Bounded Solution in a Chemotaxis-Stokes Model with Porous Medium Diffusion and Singular Sensitivity
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s10440-023-00599-x.pdf
Reference21 articles.
1. Black, T.: Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D. J. Differ. Equ. 265, 2296–2339 (2018)
2. Di Francesco, M., Lorz, A., Markowich, P.: Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior. Discrete Contin. Dyn. Syst. 28, 1437–1453 (2010)
3. Giga, Y., Sohr, H.: Abstract $L^{p}$ estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains. J. Funct. Anal. 102, 72–94 (1991)
4. Ishida, S.: Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains. Discrete Contin. Dyn. Syst. 35, 3463–3482 (2015)
5. Jin, C.: Global bounded solution in three-dimensional chemotaxis-Stokes model with arbitrary porous medium slow diffusion (2021). arXiv:2101.11235v1
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