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

被引：0
作者：
Xu, Wei [1 ,2 ]
Sun, Tao [1 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Sch Econ & Management, Nanjing 210016, Peoples R China
[2] Nanjing Audit Univ, Sch Accounting, Nanjing 211815, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2021年 / 173卷 / 01期
关键词：
Chemotaxis; Navier-Stokes; Weak solutions; Porous medium type diffusion; Global existence; WEAK SOLUTIONS; SYSTEM; EXISTENCE; BACTERIA;
D O I：
10.1007/s10440-021-00415-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：31
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