Special Session 9: Stochastics and randomness in physical models

New methods in Large deviations for SPDE
Mark Veraar
TU Delft
Netherlands
Co-Author(s):    Antonio Agresti and Esmee Theewis
Abstract:
In this talk, I will give an overview of new results on large deviations for stochastic evolution equations. Even in the variational setting, this leads to new results, as we assume neither monotonicity nor a compact embedding in the Gelfand triple. In particular, our framework applies to 2D Navier-Stokes equations on (un)bounded domains, 3D Primitive Equations, and reaction-diffusion equations. While the arguments are still based on the weak convergence approach, the main new ingredients come from the theory of critical spaces and maximal regularity techniques. Based on joint work with Antonio Agresti and Esmee Theewis