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Paper detail

Large deviations principle via Malliavin calculus for the Navier-Stokes system driven by a degenerate white-in-time noise

The purpose of this paper is to establish the Donsker-Varadhan type large deviations principle (LDP) for the two-dimensional stochastic Navier-Stokes system. The main novelty is that the noise is assumed to be highly degenerate in the Fourier space. The proof is carried out by using a criterion for the LDP developed in arXiv:1410.6188 in a discrete-time setting and extended in arXiv:1505.03686 to the continuous-time. One of the main conditions of that criterion is the uniform Feller property for the Feynman-Kac semigroup, which we verify by using Malliavin calculus.

preprint2022arXivOpen access
Vahagn NersesyanXuhui PengLihu Xu
math.APmath.PR
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Vahagn NersesyanXuhui PengLihu Xu

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