标题：Dispersive Blow-Up Phenomenon for the 3D Zakharov-Kuznetsov Equation

摘要：Due to the focusing of short or long waves, the solutions of dispersive equations may exhibit singularities at some point. Wewill introduce the dispersive blow-up phenomenon occurring to the solution of 3D Zakharov-Kuznetsov equation. Specifically, we construct an initial data such that the global solution of 3D Zakharov-Kuznetsov equation fails to be $C^1$ at all positive integer times with origin as the singular point. In fact, the dispersive blow-up phenomenon is exclusively caused by the linear component of the 3D Zakharov-Kuznetsov equation.

报告人简介：单敏捷，中央民族大学理学院副教授，本科毕业于华中科技大学，2018年获北京大学理学博士学位（期间在京都大学联合培养），后于中国科学院数学所从事博士后研究工作。单老师的研究方向是调和分析及其在非线性偏微分方程中的应用，在色散方程低正则适定性问题、无穷维动力系统等领域取得了系列成果，相关论文发表在JDE、Nonlinearanalysis等期刊，先后主持国家自然科学基金青年项目、中国博士后（站中）特别资助、中国博士后面上项目。

报告时间：5月18日（周六）上午9：30-10：30

地点：中心校区知新楼B926

邀请人：陶涛