Derivative Formula and Applications for Hyperdissipative Stochastic Navier-Stokes/Burgers Equations

Mathematics – Probability

Scientific paper

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Scientific paper

By using coupling method, a Bismut type derivative formula is established for
the Markov semigroup associated to a class of hyperdissipative stochastic
Navier-Stokes/Burgers equations. As applications, gradient estimates,
dimension-free Harnack inequality, strong Feller property, heat kernel
estimates and some properties of the invariant probability measure are derived.

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