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Lectures
Seminar information archive ～04/22｜Next seminar｜Future seminars 04/23～
2022/10/19
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)
https://forms.gle/XXH2cAb18pQhC6w96
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 ]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.
https://forms.gle/XXH2cAb18pQhC6w96
