Large Deviations for the Stochastic Shell Model of Turbulence

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Manna, U.
Sritharan, S. S.
Sundar, P.
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Abstract
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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.
Comment: 21 pages, submitted for publication
Keywords
Mathematics - Probability, Mathematical Physics, 60F10, 60H15, 76D03, 76D06
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