English

A review on two types of sonic interfaces

Analysis of PDEs 2024-05-10 v1

Abstract

In this paper, two examples of sonic interfaces are presented. The first example shows the case of sonic interfaces as weak discontinuities in self-similar shock configurations of unsteady Euler system. The second example shows the case of sonic interfaces as regular interfaces in accelerating transonic flows governed by the steady Euler-Poisson system with self-generated electric forces. And, we discuss analytic differences of the two examples, and introduce an open problem on decelerating transonic solution to the steady Euler-Poisson system.

Keywords

Cite

@article{arxiv.2405.05717,
  title  = {A review on two types of sonic interfaces},
  author = {Myoungjean Bae},
  journal= {arXiv preprint arXiv:2405.05717},
  year   = {2024}
}
R2 v1 2026-06-28T16:22:02.123Z