Asymptotic profiles for the compressible Navier-Stokes equations in the whole space

被引：5

作者：

Kagei, Yoshiyuki ^{[1
]}

Okita, Masatoshi ^{[2
]}

机构：

[1] Kyushu Univ, Fac Math, Nishi Ku, Motooka 744, Fukuoka 8190395, Japan

[2] Kurume Coll, Natl Inst Technol, Komorino 1-1-1, Kurume, Fukuoka 8308555, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 445卷 / 01期

关键词：

Compressible Navier-Stokes equations; Asymptotic profiles; Convergence rate;

D O I：

10.1016/j.jmaa.2016.07.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the large time behavior of strong solutions of the compressible Navier-Stokes equation in the whole space R-n(n >= 3) around the constant state. It was shown by Kawashima, Matsumura and Nishida (1979) and Hoff and Zumbrun (1995) that the perturbation of the constant state is time-asymptotic to a solution of the linearized problem, that is, a first-order asymptotic profile. In this paper a second-order asymptotic profile of the solution, which is caused by the nonlinear effect, is given. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：297 / 317

页数：21

共 50 条

[1] Asymptotic Behavior of Solutions of the Compressible Navier-Stokes Equations on the Half Space
Yoshiyuki Kagei
Takayuki Kobayashi
[J]. Archive for Rational Mechanics and Analysis, 2005, 177 : 231 - 330
[2] Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half space
Kagei, Y
Kobayashi, T
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2005, 177 (02) : 231 - 330
[3] Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the whole space
Fujigaki, Y
Miyakawa, T
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2001, 33 (03) : 523 - 544
[4] Asymptotic stability of nonlinear wave for the compressible Navier-Stokes equations in the half space
Kawashima, Shuichi
Zhu, Peicheng
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (12) : 3151 - 3179
[5] Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space
Kawashima, S
Nishibata, S
Zhu, PC
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 240 (03) : 483 - 500
[6] ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE
Huang, Feimin
Li, Jing
Shi, Xiaoding
[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2010, 8 (03) : 639 - 654
[7] Shock profiles of Navier-Stokes equations for compressible medium
Chang, Chueh-Hsin
Liu, Tai-Ping
[J]. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2023, 20 (02) : 499 - 515
[8] Asymptotic Stability of Rarefaction Wave for the Navier-Stokes Equations for a Compressible Fluid in the Half Space
Kawashima, Shuichi
Zhu, Peicheng
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2009, 194 (01) : 105 - 132
[9] Asymptotic stability of contact waves for the compressible Navier-Stokes equations
Ma, Shixiang
[J]. APPLICABLE ANALYSIS, 2013, 92 (11) : 2320 - 2334
[10] The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data
Ling Hsiao
Qiangchang Ju
Fucai Li
[J]. Chinese Annals of Mathematics, Series B, 2009, 30

← 1 2 3 4 5 →