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Stochastic Analysis, Stochastic Partial Differential Equations and Applications to Fluid Dynamics and Particle Systems

seminar: A spectral gap for the stochastic Navier-Stokes equations

speaker: Martin Hairer (The University of Warwick)

abstract: We study the long-time behaviour of the stochastic Navier-Stokes equations on the torus driven by a translational invariant forcing. It is possible to exhibit a Banach space of observables such that, under very weak conditions on the forcing, the corresponding Markov semigroup possesses a spectral gap. One corollary of this result is the exponential convergence of structure functions of all orders to their asymptotic values.

timetable:
Fri 7 Apr, 11:00 - 11:40, Aula Dini
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