تقرير
The Shizuta-Kawashima Condition for the Barotropic SHTC Two Fluid Model
| العنوان: | The Shizuta-Kawashima Condition for the Barotropic SHTC Two Fluid Model |
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| المؤلفون: | Thein, Ferdinand |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 35L03, 35Q35, 76Txx |
| الوصف: | Recently the barotropic two fluid model belonging to the class of \emph{symmetric hyperbolic thermodynamically compatible} (SHTC) systems was studied in detail in \cite{Thein2022}. There the question was raised whether the dissipative structure introduced by the source terms satisfies the Shizuta-Kawashima condition. This well-known condition is a sufficient criterion for the existence of global smooth solutions of the studied system. In this work we exploit the dissipative structure of the system under consideration and verify that the Shizuta-Kawashima condition holds. Comment: Submitted and accepted for the proceedings of the XVIII International Conference on Hyperbolic Problems: Theory, Numerics, Applications. (HYP2022) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.14134 |
| رقم الأكسشن: | edsarx.2401.14134 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |