Local strong solutions to the Cauchy problem of two-dimensional nonhomogeneous magneto-micropolar fluid equations with nonnegative density

被引：9

作者：

Zhong, Xin ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

ANALYSIS AND APPLICATIONS | 2021年 / 19卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Nonhomogeneous magneto-micropolar fluid system; strong solutions; Cauchy problem; vacuum; NAVIER-STOKES EQUATIONS; GLOBAL REGULARITY; EXISTENCE; SYSTEM; DECAY;

D O I：

10.1142/S0219530519500167

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Cauchy problem of nonhomogeneous magneto-micropolar fluid system with zero density at infinity in the entire space 2. We prove that the system admits a unique local strong solution provided the initial density and the initial magnetic field decay not too slowly at infinity. In particular, there is no need to require any Choe-Kim type compatibility condition for the initial data.

引用

页码：245 / 273

页数：29

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