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MiS Preprint

Large Deviations For The Stochastic Shell Model of Turbulence

Utpal Manna, Sivaguru Sritharan and Padmanabhan Sundar


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.

MSC Codes:
60F10, 60H15, 76D03, 76D06
GOY model, large deviations, Local monotonicity

Related publications

2009 Journal Open Access
Utpal Manna, Sivaguru S. Sritharan and Padmanabhan Sundar

Large deviations for the stochastic shell model of turbulence

In: Nonlinear differential equations and applications, 16 (2009) 4, pp. 493-521