تقرير
Converging/diverging self-similar shock waves: from collapse to reflection
| العنوان: | Converging/diverging self-similar shock waves: from collapse to reflection |
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| المؤلفون: | Jang, Juhi, Liu, Jiaqi, Schrecker, Matthew |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs |
| الوصف: | We solve the continuation problem for the non-isentropic Euler equations following the collapse of an imploding shock wave. More precisely, we prove that the self-similar G\"uderley imploding shock solutions for a perfect gas with adiabatic exponent $\gamma\in(1,3]$ admit a self-similar extension consisting of two regions of smooth flow separated by an outgoing spherically symmetric shock wave of finite strength. In addition, for $\gamma\in(1,\frac53]$, we show that there is a unique choice of shock wave that gives rise to a globally defined self-similar flow with physical state at the spatial origin. Comment: 37 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.12247 |
| رقم الأكسشن: | edsarx.2403.12247 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |