Large Deviations for the Stochastic Shell Model of Turbulence
Probability
2010-12-07 v1 Mathematical Physics
math.MP
Abstract
In this work we first prove the existence and uniqueness of a strong solution to stochastic GOY model of turbulence with a small multiplicative noise. Then using the weak convergence approach, Laplace principle for so- lutions of the stochastic GOY model is established in certain Polish space. Thus a Wentzell-Freidlin type large deviation principle is established utilizing certain results by Varadhan and Bryc.
Keywords
Cite
@article{arxiv.0802.0585,
title = {Large Deviations for the Stochastic Shell Model of Turbulence},
author = {U. Manna and S. S. Sritharan and P. Sundar},
journal= {arXiv preprint arXiv:0802.0585},
year = {2010}
}
Comments
21 pages, submitted for publication