Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force
Analysis of PDEs
2019-08-09 v1 Mathematical Physics
math.MP
Abstract
We are concerned with a time periodic supersonic flow through a bounded interval. This motion is described by the compressible Euler equation with a time periodic outer force. Our goal in this paper is to prove the existence of a time periodic solution. Although this is a fundamental problem for other equations, it has not been received much attention for the system of conservation laws until now.
Keywords
Cite
@article{arxiv.1908.03120,
title = {Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force},
author = {Naoki Tsuge},
journal= {arXiv preprint arXiv:1908.03120},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1702.03333