PDE Real Analysis Seminar

Seminar information archive ~05/21Next seminarFuture seminars 05/22~

Date, time & place Tuesday 10:30 - 11:30 Room #056 (Graduate School of Math. Sci. Bldg.)

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10:30-11:30   Room #056 (Graduate School of Math. Sci. Bldg.)
Qing Liu (Fukuoka University)
A discrete game interpretation for curvature flow equations with dynamic boundary conditions (日本語)
[ Abstract ]
A game-theoretic approach to motion by curvature was proposed by Kohn and Serfaty in 2006. They constructed a family of deterministic discrete games, whose value functions converge to the unique solution of the curvature flow equation. In this talk, we develop this method to provide an interpretation for the associated dynamic boundary value problems by including in the game setting a kind of nonlinear reflection near the boundary. We also discuss its applications to the fattening phenomenon. This talk is based on joint work with N. Hamamuki at Hokkaido University.