Time-periodic solution to nonhomogeneous isentropic compressible Euler equations with time-periodic boundary conditions

2022/07/19 by Yu, Huimin, Zhang, Xiaomin, Sun, Jiawei
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2207.09116

Abstract

In this paper, we study one-dimensional nonhomogeneous isentropic compressible Euler equations with time-periodic boundary conditions. With the aid of the energy methods, we prove the existence and uniqueness of the time-periodic supersonic solutions after some certain time.

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