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A probabilistic method for Navier-Stokes vortices
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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | JOURNAL OF APPLIED PROBABILITY | ||||
Publisher: | APPLIED PROBABILITY TRUST | ||||
ISSN: | 0021-9002 | ||||
Official Date: | December 2001 | ||||
Dates: |
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Volume: | 38 | ||||
Number: | 4 | ||||
Number of Pages: | 8 | ||||
Page Range: | pp. 1059-1066 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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