On vorticity and expansion-rate of fluid flows, conditional law duality and their representations

Autor:	Qian, Zhongmin, Shen, Zihao
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics Physics - Fluid Dynamics 76M23 76M25 76M35 76N99 35Q30
Druh dokumentu:	Working Paper
Popis:	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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.08019 Zobrazit plný text záznamu View this record from Arxiv