Large time behavior of solutions to the compressible Navier-Stokes equations in an infinite layer under slip boundary condition

被引：1

作者：

Aihaiti, Abulizi ^{[1
]}

Enomoto, Shota ^{[1
]}

Kagei, Yoshiyuki ^{[2
]}

机构：

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

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

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2016年 / 26卷 / 14期

关键词：

Compressible Navier-Stokes equation; infinite layer; slip boundary condition; asymptotic behavior; diffusion waves; ASYMPTOTIC-BEHAVIOR;

D O I：

10.1142/S0218202516500615

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with large time behavior of solutions to the compressible Navier-Stokes equations in an infinite layer of R-2 under slip boundary condition. It is shown that if the initial data is sufficiently small, the global solution uniquely exists and the large time behavior of the solution is described by a superposition of one-dimensional diffusion waves.

引用

页码：2617 / 2649

页数：33