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)