Global Dynamics of 3-D Compressible Micropolar Fluids with Vacuum and Large Oscillations

被引：8

作者：

Huang, Bingkang ^{[1
]}

Liu, Lvqiao ^{[2
]}

Zhang, Lan ^{[3
,4
]}

机构：

[1] Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[3] Wuhan Univ Technol, Ctr Math Sci, Wuhan 430070, Peoples R China

[4] Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R China

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2021年 / 23卷 / 01期

关键词：

Compressible micropolar fluids; Vacuum; Large oscillations; Cauchy problem; 76N10; 35Q35; 35B40; 35D35; NAVIER-STOKES EQUATIONS; VISCOUS MICROPOLAR; WELL-POSEDNESS; WEAK SOLUTIONS; CLASSICAL-SOLUTIONS; EXISTENCE; SYSTEM; 1D; MODEL;

D O I：

10.1007/s00021-020-00533-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the Cauchy problem to three-dimensional compressible viscous and heat-conducting micropolar fluid model. We establish the global existence and uniqueness of classical solution to this specific system with small initial energy. In particular, the small initial energy allows the solution to have large oscillations and initial density may contain a vacuum.

引用

页数：50

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