Volume 3, Issue 3
A Review on Two Types of Sonic Interfaces

Myoungjean Bae

Commun. Math. Anal. Appl., 3 (2024), pp. 384-401.

Published online: 2024-09

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  • 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.

  • AMS Subject Headings

35C06, 35M10, 35M30, 35Q31, 76H05, 76N10

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COPYRIGHT: © Global Science Press

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@Article{CMAA-3-384, author = {Bae , Myoungjean}, title = {A Review on Two Types of Sonic Interfaces}, journal = {Communications in Mathematical Analysis and Applications}, year = {2024}, volume = {3}, number = {3}, pages = {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.

}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2024-0016}, url = {http://global-sci.org/intro/article_detail/cmaa/23381.html} }
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 -

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.

Bae , Myoungjean. (2024). A Review on Two Types of Sonic Interfaces. Communications in Mathematical Analysis and Applications. 3 (3). 384-401. doi:10.4208/cmaa.2024-0016
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