Tianyuan Mathematical Center
in Southwest China

2018 Thematic Program (II)

Dynamics of soliton and blow-up solutions for Gross-Pitaevskii equation

[TMCSC]

June 27, 2018  14:00-16:00

W303  School of Mathematics, Sichuan University

SPEAKER

Jian Zhang (University of Electronic Science and Technology of China)

ABSTRACT

We deal with the Gross-Pitaevskii equation, which models the remarkable Bose-Einstein condensate. By exploiting the variational characteristic of the corresponding nonlinear elliptic equations, we obtain a series of dynamical properties of the soliton and blow-up solutions for Gross-Pitaevskii equation, including sharp thresholds of the global existence, stability of solitons, limiting profiles, blow-up rate and L2- concentration of the blow-up solutions.

ORGANIZERS

Kening Lu (Sichuan University)

Weinian Zhang (Sichuan University)

Wen Huang (Sichuan University)

Zeng Lian (Sichuan University)

Xiaohu Wang (Sichuan University)

Linfeng Zhou (Sichuan University)

Jun Shen (Sichuan University)

SUPPORTED BY

Tianyuan Mathematical Center in Southwest China

School of Mathematics, Sichuan University