Year: 2024
Author: Myoungjean Bae
Communications in Mathematical Analysis and Applications, Vol. 3 (2024), Iss. 3 : pp. 384–401
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2024-0016
Communications in Mathematical Analysis and Applications, Vol. 3 (2024), Iss. 3 : pp. 384–401
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Keldysh type transonic sonic interface weak discontinuity regular interface.