Diff. Geom, Math. Phys., PDE Seminar: Jun-Cheng Wei
Topic
On Type II Singularity Formulation of Harmonic Map Flows
Speakers
Details
I will consider the following classical harmonic map flow from a general two-dimensional domain D to S^2:
u_t=\Delta u +|\nabla u|^2 u, u: D \to S^2
We develop a parabolic gluing method to construct finite time blow-up solutions of Type II in general domains. We show that type II blow-up solutions with blow-up rate
(T-t)/\log^2 (T-t)
is stable and generic in arbitrary domains (without any symmetry). I will also discuss the construction of multiple blow-ups, reverse bubbling, bubbling trees, bubbling at infinity. As a by-product we can perform new geometric surgeries. (Joint work with Manuel del Pino and Juan Davila.)
u_t=\Delta u +|\nabla u|^2 u, u: D \to S^2
We develop a parabolic gluing method to construct finite time blow-up solutions of Type II in general domains. We show that type II blow-up solutions with blow-up rate
(T-t)/\log^2 (T-t)
is stable and generic in arbitrary domains (without any symmetry). I will also discuss the construction of multiple blow-ups, reverse bubbling, bubbling trees, bubbling at infinity. As a by-product we can perform new geometric surgeries. (Joint work with Manuel del Pino and Juan Davila.)
Additional Information
Location: ESB 2012
Jun-Cheng Wei, UBC
Jun-Cheng Wei, UBC
This is a Past Event
Event Type
Scientific, Seminar
Date
October 6, 2015
Time
-
Location