English

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

Analysis of PDEs 2022-07-20 v1

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.

Keywords

Cite

@article{arxiv.2207.09116,
  title  = {Time-periodic solution to nonhomogeneous isentropic compressible Euler equations with time-periodic boundary conditions},
  author = {Huimin Yu and Xiaomin Zhang and Jiawei Sun},
  journal= {arXiv preprint arXiv:2207.09116},
  year   = {2022}
}