期刊
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
卷 42, 期 9, 页码 4489-4522出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2022062
关键词
Global existence; weak solutions; chemotaxis; Navier-Stokes
资金
- Postgraduate Innovation Foundation of Hebei University [HBU2022ss013]
- Natural Science Foundation of Hebei Province [A2020201014, A2019201106]
- Second Batch of Young Talents of Hebei Province
- Nonlinear Analysis Innovation Team of Hebei University
This paper considers the Cauchy problem for the three-dimensional axisymmetric chemotaxis-Navier-Stokes equations with nonlinear diffusion Delta n(m). By utilizing the structure of axisymmetric flow without swirl, the author shows the global existence of weak solutions for the chemotaxis-Navier-Stokes equations with m = 5/3.
In this paper, we consider the Cauchy problem for the three dimensional axisymmetric chemotaxis-Navier-Stokes equations with nonlinear diffusion Delta n(m). Taking advantage of the structure of axisymmetric flow without swirl, we show the global existence of weak solutions for the chemotaxis-Navier-Stokes equations with m = 5/3.
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