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

Jan Brezina, Yoshiyuki Kagei

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1132-1195
Number of pages64
JournalJournal of Differential Equations
Volume255
Issue number6
DOIs
Publication statusPublished - Sep 15 2013

Fingerprint

Parallel flow
Compressible Navier-Stokes Equations
Evolution Operator
Spectral Properties
Navier Stokes equations
Floquet Theory
Low Frequency
Nonlinear Problem

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Spectral properties of the linearized compressible Navier-Stokes equation around time-periodic parallel flow. / Brezina, Jan; Kagei, Yoshiyuki.

In: Journal of Differential Equations, Vol. 255, No. 6, 15.09.2013, p. 1132-1195.

Research output: Contribution to journalArticle

@article{4fafa03fd2a04ea6ac22fa50a12c3513,
title = "Spectral properties of the linearized compressible Navier-Stokes equation around time-periodic parallel flow",
abstract = "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.",
author = "Jan Brezina and Yoshiyuki Kagei",
year = "2013",
month = "9",
day = "15",
doi = "10.1016/j.jde.2013.04.036",
language = "English",
volume = "255",
pages = "1132--1195",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
number = "6",

}

TY - JOUR

T1 - Spectral properties of the linearized compressible Navier-Stokes equation around time-periodic parallel flow

AU - Brezina, Jan

AU - Kagei, Yoshiyuki

PY - 2013/9/15

Y1 - 2013/9/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84891344418&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84891344418&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2013.04.036

DO - 10.1016/j.jde.2013.04.036

M3 - Article

VL - 255

SP - 1132

EP - 1195

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 6

ER -