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arXiv · 2204.01939

Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term

Huimin Yu·Xiaomin Zhang·Jiawei Sun
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Abstract

In this paper, we study the initial-boundary value problem of one-dimensional isentropic compressible Euler equations with the source term $\beta\rho|u|^{\alpha}u$. By means of wave decomposition and the uniform a-priori estimates, we prove the global existence of smooth solutions under small perturbations around the supersonic Fanno flow. Then, by Gronwall's inequality, we get the smooth solution is time-periodic.

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Huimin Yu, Xiaomin Zhang, Jiawei Sun. 2022-04-05. Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term. https://arxiv.org/abs/2204.01939

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