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Large Deviation Principle and Inviscid Shell Models

journal contribution
posted on 26.11.2009, 00:00 by Hakima Bessaih, A. Millet
A LDP is proved for the inviscid shell model of turbulence. As the viscosity coefficient v converges to 0 and the noise intensity is multiplied by root v, we prove that some shell models of turbulence with a multiplicative stochastic perturbation driven by a H-valued Brownian motion satisfy a LDP in C ([0, T], V) for the topology of uniform convergence on [0, T], but where V is endowed with a topology weaker than the natural one. The initial condition has to belong to V and the proof is based on the weak convergence of a family of stochastic control equations. The rate function is described in terms of the solution to the inviscid equation.

History

ISO

eng

Language

English

Publisher

University of Wyoming. Libraries

Journal title

Electronic Journal of Probability

Collection

Faculty Publication - Department of Mathmatics & Statistics