DECAY PROPERTIES OF SOLUTIONS TO THE LINEARIZED COMPRESSIBLE NAVIER–STOKES EQUATION AROUND TIME-PERIODIC PARALLEL FLOW-Reference-Cited by-同舟云学术

DECAY PROPERTIES OF SOLUTIONS TO THE LINEARIZED COMPRESSIBLE NAVIER–STOKES EQUATION AROUND TIME-PERIODIC PARALLEL FLOW

Published:2012-05-03 Issue:07 Volume:22 Page:1250007
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BŘEZINA JAN¹,KAGEI YOSHIYUKI²

Affiliation:

1. Graduate School of Mathematics, Kyushu University, Motooka 744 Nishi-ku, Fukuoka 819-0395, Japan

2. Faculty of Mathematics, Kyushu University, Motooka 744 Nishi-ku, Fukuoka 819-0395, Japan

Abstract

Decay estimates on solutions to the linearized compressible Navier–Stokes 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 L2 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202512500078

Reference5 articles.

1. Asymptotic Behavior of the Semigroup Associated with the Linearized Compressible Navier-Stokes Equation in an Infinite Layer

2. Asymptotic Behavior of Solutions of the Compressible Navier–Stokes Equation Around the Plane Couette Flow

3. Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids

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