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.
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页码：61 / 87
页数：27
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