A probabilistic method for Navier-Stokes vortices
UNSPECIFIED. (2001) A probabilistic method for Navier-Stokes vortices. JOURNAL OF APPLIED PROBABILITY, 38 (4). pp. 1059-1066. ISSN 0021-9002Full text not available from this repository.
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|
|Official Date:||December 2001|
|Number of Pages:||8|
|Page Range:||pp. 1059-1066|
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