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• W2111736630 abstract "LDP is proved for the inviscid shell model of turbulence. As the viscosity coefficient converges to 0 and the noise intensity is multiplied by its square root, we prove that some shell models of turbulence with a multiplicative stochastic perturbation driven by a $H$-valued Brownian motion satisfy a LDP in $mathcal{C}([0,T],V)$ 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." @default.
• W2111736630 created "2016-06-24" @default.
• W2111736630 creator A5015933074 @default.
• W2111736630 creator A5074571972 @default.
• W2111736630 date "2009-01-01" @default.
• W2111736630 modified "2023-10-03" @default.
• W2111736630 title "Large Deviation Principle and Inviscid Shell Models" @default.
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• W2111736630 doi "https://doi.org/10.1214/ejp.v14-719" @default.
• W2111736630 hasPublicationYear "2009" @default.
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