Asymptotic Behavior of the Linearized Semigroup at Space-Periodic Stationary Solution of the Compressible Navier-Stokes Equation

被引：2

作者：

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：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2017年 / 19卷 / 04期

关键词：

Compressible Navier-Stokes equation; space-periodic stationary solution; linearized semigroup; spectrum; PARALLEL-FLOW; SPECTRAL PROPERTIES; CYLINDRICAL DOMAIN; EXTERIOR DOMAIN; VISCOUS-FLUID; MOTION;

D O I：

10.1007/s00021-016-0304-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The asymptotic behavior of the linearized semigroup at spatially periodic stationary solution of the compressible Navier-Stokes equation in a periodic layer of R-n (n = 2,3) is investigated. It is shown that if the Reynolds and Mach numbers are sufficiently small, then the linearized semigroup is decomposed into two parts; one behaves like a solution of an n - 1 dimensional linear heat equation as time goes to infinity and the other one decays exponentially.

引用

页码：739 / 772

页数：34

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