中科院数学与系统科学研究院
数学研究所
调和分析及其应用研究中心
学术报告
调和分析和偏微分方程研讨班
报告人：单敏捷（中央民族大学）
题 目：Dispersive blow-up phenomenon for the 3D Zakharov-Kuznetsov equation
时 间：2024.04.03（星期三）10:00-11:00
地 点：思源楼S813
摘 要：Due to the focusing of short or long waves, the solutions of dispersive equations may exhibit singularities at some point. In this talk, I will 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 $C^1(\mathbb{R}^3)$ 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.
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