Optimal convergence rates for the strong solutions to the compressible Navier-Stokes equations with potential force

被引：7

作者：

Wang, Wenjun ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2017年 / 34卷

基金：

中国国家自然科学基金;

关键词：

Compressible Navier-Stokes equations; Potential force; Global existence; Optimal convergence rate; HEAT-CONDUCTIVE FLUIDS; VISCOUS-FLUID; STEADY FLOW; HALF-SPACE; DECAY; MOTION; BEHAVIOR; R-3;

D O I：

10.1016/j.nonrwa.2016.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the effect of external force on the large-time behavior of solutions to the Cauchy problem for the three-dimensional full compressible Navier-Stokes equations. We construct the global unique solution near the stationary profile to the system for the small H-2(R-3) initial data. Moreover, the optimal L-P-L-2 (1 <= p <= 2) time decay rates of the solution to the system are established via a low frequency and high frequency decomposition. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：363 / 378

页数：16

共 21 条

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