Seminar information archive ~05/22Next seminarFuture seminars 05/23~


16:45-18:15   Room #126 (Graduate School of Math. Sci. Bldg.)
If you wish to participate online, please register by 17:00 on the 18th from the reference URL.
Mykhaylo Shkolnikov (Princeton University)
Probabilistic solutions of singular free boundary problems (English)
[ Abstract ]
The main focus of the talk will be on a new, probabilistic, concept of solution to singular free boundary problems, in which boundary points may move at infinite speed. I will discuss this new concept in the context of Stefan problems from mathematical physics that describe melting/solidification of a solid/liquid (e.g., ice/water) in the presence of supercooling. In particular, I will present new global existence, regularity and uniqueness results for the two geometrically simplest settings: flat and radial. Based on joint works with Sergey Nadtochiy, Francois Delarue and Yucheng Guo.
[ Reference URL ]