Global Strong Solution to the Two-Dimensional Full Compressible Navier-Stokes Equations with Large Viscosity

被引：4

作者：

Li, Hao ^{[1
,3
]}

Shang, Zhaoyang ^{[2
,3
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Shanghai Lixin Univ Accounting & Finance, Sch Finance, Shanghai 201209, Peoples R China

[3] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2022年 / 24卷 / 01期

基金：

中国博士后科学基金;

关键词：

Navier-Stokes equations; Blow-up criterion; Global strong solution; Exponential decay rate; Vacuum; BOUNDARY-VALUE-PROBLEMS; BLOW-UP CRITERION; CLASSICAL-SOLUTIONS; WELL-POSEDNESS; WEAK SOLUTIONS; EXISTENCE; UNIQUENESS; VACUUM; SYSTEM; FLUIDS;

D O I：

10.1007/s00021-021-00641-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the initial-boundary value problem for the full compressible Navier-Stokes equations on the square domain. We show the global existence of the strong solution with vacuum if the coefficient of viscosity mu is suitably large. Moreover, an exponential decay rate of the strong solution is obtained.

引用

页数：29

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