Time periodic solutions of compressible fluid models of Korteweg type

Abstract

This paper is concerned with the existence, uniqueness and time-asymptotic stability of time periodic solutions to the compressible Navier-Stokes-Korteweg system effected by a time periodic external force in ${\mathbb{R}}^n$. Our analysis is based on a combination of the energy method and the time decay estimates of solutions to the linearized system.

16pages