Time periodic solutions of compressible fluid models of Korteweg type

Details Time periodic solutions of compressible fluid models of Korteweg type Time periodic solutions of compressible fluid models of Korteweg type

2012-03-29

arxiv.org/abs/1203.6529v1

Mathematics

Analysis of PDEs

16pages

Scientific paper

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.

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