Global strong solution to the 2D inhomogeneous incompressible magnetohydrodynamic fluids with density-dependent viscosity and vacuum

被引：0

作者：

Su, Menglong ^{[1
]}

机构：

[1] Luoyang Normal Univ, Sch Math Sci, Luoyang 471934, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期

基金：

中国国家自然科学基金;

关键词：

NAVIER-STOKES EQUATIONS; BLOW-UP CRITERION; TIME ASYMPTOTIC-BEHAVIOR; WELL-POSEDNESS; CAUCHY-PROBLEM; EXISTENCE; SOLVABILITY; REGULARITY; FLOWS;

D O I：

10.1186/s13660-021-02707-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate an initial boundary value problem for two-dimensional inhomogeneous incompressible MHD system with density-dependent viscosity. First, we establish a blow-up criterion for strong solutions with vacuum. Precisely, the strong solution exists globally if parallel to del mu(rho)parallel to(L infinity(0,T;Lp)) is bounded. Second, we prove the strong solution exists globally (in time) only if parallel to del mu(rho(0))parallel to(Lp) is suitably small, even the presence of vacuum is permitted.

引用

页数：29

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