Commun. Math. Anal. Appl., 3 (2024), pp. 384-401.
Published online: 2024-09
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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.
}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2024-0016}, url = {http://global-sci.org/intro/article_detail/cmaa/23381.html} }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.