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arXiv · 1908.03120

Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force

Naoki Tsuge
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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.

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Naoki Tsuge. 2019-08-08. Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force. https://arxiv.org/abs/1908.03120

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