Abstract:
I explain the notion of Brakke flow, which is a weak formulation of mean curvature flow using tools from geometric measure theory. Then I describe the basic epsilon-regularity theorem and some existence theorem of Brakke flow due to myself, Lami Kim and Salvatore Stuvard.
Biography:
Prof. Yoshihiro Tonegawa received his Ph.D. in mathematics from New York University's Courant Institute in 1993. He taught mathematics at Rice University, National Autonomous University of Mexico, Keio University, and then for 15 years at Hokkaido University in Sapporo. Since 2015, he has been a Professor in the Department of Mathematics at Tokyo Institute of Technology. His research field is geometric analysis on static/dynamic phenomena driven by surface tension, such as minimal surface, mean curvature flow, diffused interface motion and free boundary problems. In 2013, he was awarded the Analysis Prize from the Mathematical Society of Japan.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.