Joint USYD and UNSW Seminar on Stochastic PDEs: Upanshu Sharma (UNSW) -- Can the behaviour of microscopic stochastic systems give insight into analysis of upscaled PDEs (part 2)?

Location: Room 3085, Red Centre, UNSW, or online
https://unsw.zoom.us/j/83425275881?from=addon
Meeting ID: 83425275881
Password: 041345

The last talk dealt with building an understanding of gradient flows, and reflected on 
two crucial properties: (1) gradient flows have a natural (variational) structure, and 
(2) this variational structure has connections to large deviations.
The second talk will focus on building upon the second connection. In particular, using 
the example of the kinetic Fokker-Planck equation, I will present a large-deviation 
inspired variational form for this equation. Furthermore, I will show that this 
variational form naturally meshes with studying singular 
limit problems due to the various a priori estimates available for such structures.