TY - JOUR
T1 - A Review on Two Types of Sonic Interfaces
AU - Bae , Myoungjean
JO - Communications in Mathematical Analysis and Applications
VL - 3
SP - 384
EP - 401
PY - 2024
DA - 2024/09
SN - 3
DO - http://doi.org/10.4208/cmaa.2024-0016
UR - https://global-sci.org/intro/article_detail/cmaa/23381.html
KW - Keldysh type, transonic, sonic interface,weak discontinuity, regular interface.
AB - <p style="text-align: justify;">In this paper, two examples of sonic interfaces ([2–6]) 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.</p>