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

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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
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关键词
Chemotaxis; Navier-Stokes; Weak solutions; Porous medium type diffusion; Global existence;
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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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