The Cauchy Problem for the Incompressible 2D-MHD with Power Law-Type Nonlinear Viscous Fluid

被引：0

作者：

Kim, Jae-Myoung ^{[1
]}

机构：

[1] Andong Natl Univ, Dept Math Educ, Andong 36729, South Korea

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2021年 / 2021卷

基金：

新加坡国家研究基金会;

关键词：

NON-NEWTONIAN FLUIDS; EXISTENCE; FLOW; EQUATIONS;

D O I：

10.1155/2021/6675729

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate a motion of the incompressible 2D-MHD with power law-type nonlinear viscous fluid. In this paper, we establish the global existence and uniqueness of a weak solution (u, b) depending on a number q in R-2. Moreover, the energy norm of the weak solutions to the fluid flows has decay rate (1 + t)(-1/2).

引用

页数：7

共 24 条

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[24] Stationary and time-dependent numerical approximation of the lid-driven cavity problem for power-law fluid flows at high Reynolds numbers using a stabilized finite element formulation of the VMS type
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JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2018, 257 : 22 - 43

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