Global Solvability to a 3D Chemotaxis-Fluid Model with Matrix-Valued Supercritical Sensitivities

被引：0
作者：
Wei Xu
Tao Sun
机构：
[1] Nanjing University of Aeronautics & Astronautics,School of Economics and Management
[2] Nanjing Audit University,School of Accounting
来源：
Acta Applicandae Mathematicae | 2021年 / 173卷
关键词：
Chemotaxis; Navier-Stokes; Weak solutions; Porous medium type diffusion; Global existence;
D O I：
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学科分类号：
摘要：
In this paper, a 3D chemotaxis-fluid system which includes matrix-valued sensitivity functions and porous medium type diffusion is studied. Assuming that the matrix-valued function and diffusion term satisfy some conditions and suitably regular nonnegative initial data, the global existence of weak solutions is obtain to the system by related theories of partial differential equation and functional analysis.
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