Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	单敏捷，中央民族大学
Inviter:	范晨捷
Title:	Dispersive blow-up phenomenon for the 3D Zakharov-Kuznetsov equation
Language:	Chinese
Time & Venue:	2024.04.03 10:00-11:00 思源楼S813
Abstract:	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.