Title

Large deviations for the stochastic shell model of turbulence

Document Type

Article

Publication Date

6-3-2009

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 solutions 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. © 2009 The Author(s).

Publication Source (Journal or Book title)

Nonlinear Differential Equations and Applications

First Page

493

Last Page

521

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