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Convergence rates and CLT for stochastic inviscid Leray-model with transport noise – Dejun Luo (Chinese Academy of Science)

Venue

Aula Seminari

Abstract

The stochastic inviscid Leray-model perturbed by multiplicative transport noise is considered on the torus. Under a suitable scaling of the noise, it is shown that the weak solutions converge, in some negative Sobolev spaces, to the unique solution of the deterministic viscous Leray-model. Interpreting such limit result as a law of large numbers, we also study the underlying central limit theorem and provide an explicit convergence rate. This talk is based a joint work with PhD Bin Tang.

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