On forward-in-time finite time blow-up construction for geometric dispersive equations

The HADES seminar on Tuesday, September 15th will be given by Sung-Jin Oh via Zoom (please contact the organizer at “james_rowan at berkeley dot edu” for the Zoom ID) from 3:40 to 5 pm.

Speaker: Sung-Jin Oh

Abstract: Since the pioneering works of Krieger-Schlag-Tataru, Rodnianski-Sterbenz, Raphaël-Rodnianski and Merle-Raphaël-Rodnianski, the construction of finite-time blow-up solutions to geometric dispersive equations has been a topic of immense interest. In this expository talk, after a brief general review, I’ll try to describe in some detail the modulation-theoretic scheme of Raphaël-Rodnianski for constructing a finite time blow-up solution with smooth initial data. If time permits, I’ll present briefly a work-in-progress on an analogous blow-up construction for the self-dual Chern-Simons-Schrödinger equation (joint with Kihyun Kim and Soonsik Kwon).

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