Abstract: This talk is based on a series of works, in collaboration with F. Flandoli and D. Luo, in which we explore the effect of transport-type noise on (linear and nonlinear) PDEs. In particular, it is possible to choose a family of noises in such a way that, under a suitable scaling regime, in the limit one finds a deterministic PDE with enhanced viscosity.
As a paradigmatic example, I will mostly focus on stochastic 2D Euler in vorticity form; under the scaling limit, weak solutions converge to those of deterministic 2D Navier-Stokes, thus inverting the classical paradigm where solutions to Euler are obtained by a vanishing viscosity limit of Navier-Stokes. Recent progresses on the large deviations and Gaussian fluctuations underlying this scaling limit will be presented.
Scaling limits of SPDEs with transport noise
13.04.2022 17:45 - 19:00
Organiser:
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli
Location:
TU Wien, Gußhausstraße 25-29, 2.OG, EI 3 Sahulka HS