Spectral properties of the linearized compressible Navier-Stokes equation around time-periodic parallel flow

被引：19

作者：

Brezina, Jan ^{[1
]}

Kagei, Yoshiyuki ^{[1
]}

机构：

[1] Kyushu Univ, Fac Math, Fukuoka 8190395, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 255卷 / 06期

关键词：

Compressible Navier-Stokes equation; Floquet theory; Asymptotic behavior; Time-periodic; Spectral analysis;

D O I：

10.1016/j.jde.2013.04.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The linearized problem around a time-periodic parallel flow of the compressible Navier-Stokes equation in an infinite layer is investigated. By using the Floquet theory, spectral properties of the evolution operator associated with the linearized problem are studied in detail. The Floquet representation of a low frequency part of the evolution operator, which plays an important role in the study of the nonlinear problem, is obtained. (C) 2013 Elsevier Inc. All rights reserved:

引用

页码：1132 / 1195

页数：64

共 10 条

[1]

[Anonymous], 2010, J MATH FOR IND A, V2A, P39

[2]

Brezina J., 2012, MI PREPRINT SERIES, V2012-10

[3] DECAY PROPERTIES OF SOLUTIONS TO THE LINEARIZED COMPRESSIBLE NAVIER-STOKES EQUATION AROUND TIME-PERIODIC PARALLEL FLOW [J].