A suitable nonlinear Stratonovich noise prevents blow-up in the Euler equations and other SPDEs.

Marco Bagnara (SNS Pisa)

Feb 12. 2024, 16:00 — 16:40

We consider the 3D Euler equations perturbed by a super-linear Stratonovich noise. It is well-known that (under suitable assumptions on the noise) regular solutions exist locally in time. We show, by means of the Lyapunov function method, that the choice of a suitable non-linear Stratonovich prevents the blow-up. Namely, we establish that with full probability regular solutions are global in time. The same result is valid for a wider range of SPDEs.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Stochastic Partial Differential Equations (Workshop)
Organizer(s):
Sandra Cerrai (U of Maryland)
Martin Hairer (Imperial College London)
Carlo Marinelli (University College London)
Eulalia Nualart (U of Barcelona)
Luca Scarpa (Politecnico Milano)
Ulisse Stefanelli (U of Vienna)