Strong solutions for the stochastic 3D LANS-α model driven by non-Gaussian Lévy noise

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Authors

Deugoue, Gabriel
Sango, Mamadou

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Publisher

World Scientific Publishing

Abstract

We establish the existence, uniqueness and approximation of the strong solutions for the stochastic 3D LANS- model driven by a non-Gaussian L evy noise. Moreover, we also study the stability of solutions. In particular, we prove that under some conditions on the forcing terms, the strong solution converges exponentially in the mean square and almost surely exponentially to the stationary solution.

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Keywords

LANS-cx model, Lévy noise, Strong solutions, Galerkin approximation, Exponential stability

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Citation

Deugoue, G & Sango, M 2015, 'Strong solutions for the stochastic 3D LANS-α model driven by non-Gaussian Lévy noise', Stochastics and Dynamics, vol. 15, no. 2, pp. 1-38.