Asymptotic dynamics near ground state for mass critical Zakharov-Kuznetsov equations in dimension two
报告人：兰洋（清华大学）
时间：2024-05-06 16:00-17:00
地点：智华楼四元厅
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.
