Asymptotic Dynamics near Ground State for Mass Critical Zakharov-Kuznetsov Equations in Dimension Two
Time: 2024-04-29
Published By: He Liu
Speaker(s): Yang Lan (Tsinghua University)
Time: 16:00-17:00 May 6, 2024
Venue: Siyuan Lecture Hall
We consider the focusing mass critical Zakharov-Kuznetsov equation in 2D. We will provide a complete classification of the long time behavior of solutions with initial data near the ground and with a suitable decay on the first variable. We will show that only three behaviors are possible: 1. converging to a traveling wave, 2. blowing up in finite time, 3. linear behavior. Our result is an extention of the work of Martel-Merle-Raphael for mass critical gKdV equations. This work is joint with G. Chen and X. Yuan.
