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

[31] ON THE SUITABLE WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN THE WHOLE SPACE
DAVEIGA, HB
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1985, 64 (01): : 77 - 86
[32] ON THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE WHOLE SPACE: FROM NON-ISENTROPIC FLOW TO ISENTROPIC FLOW
He, Ling-Bing
Xu, Li
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 41 (07) : 3489 - 3530
[33] Convergence of compressible Navier-Stokes-Maxwell equations to incompressible Navier-Stokes equations
YANG JianWei
WANG Shu
[J]. Science China Mathematics, 2014, 57 (10) : 2153 - 2162
[34] Convergence of compressible Navier-Stokes-Maxwell equations to incompressible Navier-Stokes equations
JianWei Yang
Shu Wang
[J]. Science China Mathematics, 2014, 57 : 2153 - 2162
[35] Convergence of compressible Navier-Stokes-Maxwell equations to incompressible Navier-Stokes equations
Yang JianWei
Wang Shu
[J]. SCIENCE CHINA-MATHEMATICS, 2014, 57 (10) : 2153 - 2162
[36] A Liouville theorem for the compressible Navier-Stokes equations
Zhong, Xin
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (13) : 5091 - 5095
[37] Boltzmann schemes for the compressible Navier-Stokes equations
Ohwada, T
[J]. RAREFIED GAS DYNAMICS, 2001, 585 : 321 - 328
[38] Wave propagation for the compressible Navier-Stokes equations
Liu, Tai-Ping
Noh, Se Eun
[J]. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2015, 12 (02) : 385 - 445
[39] ON THE STATIONARY, COMPRESSIBLE AND INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
DEFRANCESCHI, A
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1987, 149 : 217 - 236
[40] Bicompact Schemes for Compressible Navier-Stokes Equations
Bragin, M. D.
[J]. DOKLADY MATHEMATICS, 2023, 107 (01) : 12 - 16

← 1 2 3 4 5 →