Decay Rates for Strong Solutions to the Compressible Navier-Stokes Equations without Heat Conductivity

被引：0

作者：

Li, Weilong ^{[1
,2
]}

Wang, Wenjun ^{[3
]}

Wang, Yinghui ^{[4
]}

Yao, Lei ^{[1
,2
]}

机构：

[1] Northwest Univ, Sch Math, Xian 710127, Peoples R China

[2] Northwest Univ, Ctr Nonlinear Studies, Xian 710127, Peoples R China

[3] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[4] South China Univ Technol, Sch Math, Guangzhou 510641, Peoples R China

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2021年 / 23卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Compressible Navier-Stokes equations; Global existence; Time decay rates; CONVERGENCE-RATES; GLOBAL EXISTENCE; SYSTEMS; MOTION;

D O I：

10.1007/s00021-021-00590-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the compressible Navier-Stokes equations without heat conductivity in R-3. The global existence and uniqueness of strong solutions are established when the initial value towards its equilibrium is sufficiently small in H-2(R-3). The key uniform bound of entropy is obtained, even though the entropy is non-dissipative due to the absence of heat conductivity. Moreover, the time decay rates of global solutions are also given.

引用

页数：24

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