晨兴学术报告：Asymptotic dynamics near ground state for mass critical Zakharov-Kuznetsov equations in dimension two

Speaker: Dr. Yang Lan (YMSC)

Time: 10:30-11:30  May 9, 2024 (Thursday)

Place: MCM110

Title: Asymptotic dynamics near ground state for mass critical Zakharov-Kuznetsov equations in dimension two

Abstract: 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.