Large Deviations for the Shell Model of Turbulence Perturbed by Levy Noise
Utpal Manna, Manil T. Mohan
TL;DR
This paper establishes a large deviation principle for a stochastic shell model of turbulence influenced by Levy noise, using weak convergence methods and the Laplace principle in a Polish space.
Contribution
It introduces a novel application of large deviation theory to turbulence models with Levy noise, extending existing methods to this stochastic setting.
Findings
Large deviation principle proved for the shell model with Levy noise
Application of weak convergence approach in turbulence modeling
Utilization of Varadhan and Bryc's results for the proof
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.
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