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arXiv · 0802.0585

Large Deviations for the Stochastic Shell Model of Turbulence

U. Manna·S. S. Sritharan·P. Sundar
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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.

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U. Manna, S. S. Sritharan, P. Sundar. 2008-02-05. Large Deviations for the Stochastic Shell Model of Turbulence. https://doi.org/10.1007/s00030-009-0023-z

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