Benjamin Fehrman (LSU)

CRM-ISM Probability seminar

Title: Stochastic dynamics of conservative stochastic PDE

Abstract:  In this talk, we will motivate the study of stochastic PDE with conservative noise through their application to the non-equilibrium statistical mechanics theories of fluctuating hydrodynamics and macroscopic fluctuation theory.  We will discuss some of the difficulties that arise in the analysis of such equations, and explain an approach to their well-posedness based on the equation’s kinetic form. The well-posedness theory will then be used to study the stochastic dynamics, including the construction a random dynamical system and invariant measure, and an analysis of the fluctuations and large deviations.

Zoom link: https://mcgill.zoom.us/j/81120610248?pwd=Dt7gaqRsywfBL6oa5ou46WaqUeUf6s.1