勷勤数学•专家报告

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

报  告  人： 兰洋 助理教授  (邀请人：罗天文)

                                          清华大学

时      间： 4月10日  10：00-11:00

地     点：数科院西楼114

报告人简介:

       兰洋，清华大学丘成桐数学科学中心助理教授，博士毕业于巴黎第十一大学，曾在巴塞尔大学从事博士后研究工作。研究兴趣为非线性色散方程，主要集中在研究解的长时间行为等方向。相关成果发表在CMP, Analysis and PDE, IMRN, CVPDE等国际期刊上。

摘      要：

       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.

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