Large Deviations for the Stochastic Shell Model of Turbulence

2008/02/05 by U. Manna, S. S. Sritharan, P. Sundar · 1 citation
Mathematics · Physics and Astronomy · #math.PR #math-ph #math.MP #msc:60F10 #msc:60H15 #msc:76D03 #msc:76D06

paper · pdf · doi:10.1007/s00030-009-0023-z

published as NoDEA Nonlinear Differential Equations Appl. 16 (2009), no. 4, 493-521 · 21 pages, submitted for publication

arxiv created 2008/02/05 · arxiv updated 2010/12/07

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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