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Large Deviations for the Shell Model of Turbulence Perturbed by Levy Noise

2014/12/19 by Utpal Manna, Manil T. Mohan
Mathematics · #math.PR #math.AP #msc:60F10 #msc:60G51 #msc:60H15 #msc:76D06

paper · pdf

published as Communications on Stochastic Analysis, Vol. 7, No. 1 (2013) 39-63 · 24 pages. arXiv admin note: substantial text overlap with arXiv:0802.0585

arxiv created 2014/12/19 · arxiv updated 2014/12/22

Abstract

The Laplace principle for the strong solution of the stochastic shell model of turbulence perturbed by Levy noise is established in a suitable Polish space using weak convergence approach. The large deviation principle is proved using the well known results of Varadhan and Bryc.

Citations