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

Jan Březina, 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

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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