Stochastic Fluid Mechanics and SPDEs
timetable:
Thu 27 Jul, 12:00 - 12:40, Aula Dini
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seminar: Intermittent behaviour of the stochastic Burgers equations
speaker: Martin Hairer (The University of Warwick)abstract: We consider the one-dimensional Burgers equation perturbed by a weak linear instability and weak additive noise. It is shown that in this regime its dynamics is well aproximated by that of a finite-dimensional SDE. It turns out that with a suitable choice of parameters, there is a noise threshold above which the solutions to the finite-dimensional SDE converge to 0 exponentially fast. Around the threshold, the solution shows intermittent behaviour. In particular, even though its expected value decays to 0, the solution does not converge to 0 almost surely.
timetable:
Thu 27 Jul, 12:00 - 12:40, Aula Dini
<< Go back