Large Deviations for the Stochastic Shell Model of Turbulence

Details Large Deviations for the Stochastic Shell Model of Turbulence Large Deviations for the Stochastic Shell Model of Turbulence

2008-02-05

arxiv.org/abs/0802.0585v1

NoDEA Nonlinear Differential Equations Appl. 16 (2009), no. 4, 493-521

Mathematics

Probability

21 pages, submitted for publication

Scientific paper

10.1007/s00030-009-0023-z

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.

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