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

preprint2022arXivOpen access

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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