تقرير
On vorticity and expansion-rate of fluid flows, conditional law duality and their representations
| العنوان: | On vorticity and expansion-rate of fluid flows, conditional law duality and their representations |
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| المؤلفون: | Qian, Zhongmin, Shen, Zihao |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics Physics (Other) |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematical Physics, Physics - Fluid Dynamics, 76M23, 76M25, 76M35, 76N99, 35Q30 |
| الوصف: | By using a formulation of motion equations for a viscous (compressible) fluid flow in terms of the vorticity and the rate of expansion as the main fluid dynamical variables, an approximation model is established for compressible flows with slowly varied (over the space) fluid density. The probabilistic tools and the main ingredient such as the duality of conditional laws and the forward type Feynman-Kac formula are established for elliptic operators of second order, in order to formulate the corresponding random vortex method for a class of viscous compressible fluid flows, based on their approximation motion equations. Comment: 19 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.08019 |
| رقم الأكسشن: | edsarx.2308.08019 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |