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VOL. 64 | 2015 On decay properties of the linearized compressible Navier–Stokes equations around time-periodic flows in an infinite layer
Jan Březina

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

## Abstract

We investigate decay properties of solutions to the linearized compressible Navier–Stokes equation around time-periodic parallel flow. We show 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, we prove 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.

## Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1335.35177
MathSciNet: MR3381303

Digital Object Identifier: 10.2969/aspm/06410369

Subjects:
Primary: 35Q30, 35Q35, 76N15, 76N99