Decay properties of solutions to the linearized compressible navierstokes equation around time-periodic parallel flow

Jan Brezina, Yoshiyuki Kagei

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Decay estimates on solutions to the linearized compressible NavierStokes equation around time-periodic parallel flow are established. It is shown that if the Reynolds and Mach numbers are sufficiently small, solutions of the linearized problem decay in L 2 norm as an (n - 1)-dimensional heat kernel. Furthermore, it is proved that the asymptotic leading part of solutions is given by solutions of an (n - 1)-dimensional linear heat equation with a convective term multiplied by time-periodic function.

Original languageEnglish
Article number1250007
JournalMathematical Models and Methods in Applied Sciences
Volume22
Issue number7
DOIs
Publication statusPublished - Jul 1 2012

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Parallel flow
Compressible Navier-Stokes Equations
Decay
Small Solutions
Decay Estimates
Heat Kernel
Periodic Functions
Heat Equation
Linear equation
Norm
Term
Mach number
Reynolds number
Hot Temperature

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

Cite this

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