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

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