The Minimal-Mass Blow-Up Solutions of the Mass-Critical gKdV

GEOMETRIC PDE SEMINAR
Topic:The Minimal-Mass Blow-Up Solutions of the Mass-Critical gKdV
Speaker:Shuaglin Shao
Affiliation:Member, School of Mathematics
Date:Tuesday, March 3
Time/Room:2:00pm - 3:00pm/S-101

Conditional on the scattering conjecture of the mass-critical nonlinear Schrodinger equation in spatial dimension one, we show that there exists a blow-up solution to the mass-critical generalized Korteweg de Vries equation (gKdV) with the minimal mass if the scattering conjecture for gKdV fails; furthermore, we show that this minimal element is almost periodic modulo symmetries. (Joint with Kwon and Visan)