Asymptotic Dynamics near Ground State for Mass Critical Zakharov-Kuznetsov Equations in Dimension Two
发布时间：2024年04月29日
浏览次数：1030
发布者: He Liu
主讲人： 兰洋（清华大学）
活动时间： 从 2024-05-06 16:00 到 17:00
场地： 智华楼四元厅
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.
