Large time behavior of solutions to the compressible Navier-Stokes equations around periodic steady states

被引：2

作者：

Enomoto, Shota ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 152卷

关键词：

Compressible Navier-Stokes equation; Spatially periodic stationary solution; Viscous Burgers equation; Asymptotic behavior; PARALLEL-FLOW; SPECTRAL PROPERTIES; CYLINDRICAL DOMAIN; VISCOUS-FLUID; STATIONARY SOLUTIONS; ASYMPTOTIC-BEHAVIOR; EXTERIOR DOMAIN; HALF-SPACE; STABILITY; MOTION;

D O I：

10.1016/j.na.2016.12.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper shows that the strong solution to the compressible Navier-Stokes equation around spatially periodic stationary solution in a periodic layer of R-n (n = 2, 3) exists globally in time if Reynolds and Mach numbers are sufficiently small It is proved that the asymptotic leading part of the perturbation is given by a solution to the one-dimensional viscous Burgers equation multiplied by a spatially periodic function when n = 2, and by a solution to the two-dimensional heat equation multiplied by a spatially periodic function when n = 3. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：61 / 87

页数：27

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