UNSPECIFIED (2001) A probabilistic method for Navier-Stokes vortices. JOURNAL OF APPLIED PROBABILITY, 38 (4). pp. 1059-1066. ISSN 0021-9002

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Abstract

Consider a Navier-Stokes incompressible turbulent fluid in R-2. Let x(t) denote the position coordinate of a moving vortex with initial circulation Gamma(0) > 0 in the fluid, subject to a force F. Define x(t) as a stochastic process with continuous sample paths described by a stochastic differential equation, Assuming a suitable notion of weak rotationality, it is shown that the stochastic equation is equivalent to a linear partial differential equation for the complex function psi,iapsi/delta = [-Gamma(0)Delta + F]psi where \psi\(2) = rho(x, t), rho being the probability density function of finding the vortex centre in position x at time t.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	JOURNAL OF APPLIED PROBABILITY
Publisher:	APPLIED PROBABILITY TRUST
ISSN:	0021-9002
Date:	December 2001
Volume:	38
Number:	4
Number of Pages:	8
Page Range:	pp. 1059-1066
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/11196

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