A review on two types of sonic interfaces
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913345270972416 |
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| author | Bae, Myoungjean |
| author_facet | Bae, Myoungjean |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05717 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A review on two types of sonic interfaces Bae, Myoungjean Analysis of PDEs 35C06, 35M10, 35M30, 35Q31, 76H05, 76N10 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. |
| title | A review on two types of sonic interfaces |
| topic | Analysis of PDEs 35C06, 35M10, 35M30, 35Q31, 76H05, 76N10 |
| url | https://arxiv.org/abs/2405.05717 |