Well-Posedness for the Coupled KdV-KdV Systems

报告题目：Well-Posedness for the Coupled KdV-KdV Systems
报告时间：2023年12月14日 10：00-11：00
报告地点：红瓦楼726
报告人：杨鑫 副研究员 （东南大学）
报告摘要：The KdV equation is a mathematical model for the waves on shallow water surfaces. The coupled KdV-KdV systems usually serve as models to describe the interaction of two long waves with different dispersion coefficients. The well-posedness of the Cauchy problem of both the single equation and the coupled systems are of fundamental importance.  A particular question to ask is: what is the least regularity requirement for the initial data such that the Cauchy problem is well-posed? This task for the single KdV equation has been accomplished. We will report some progress on this issue for the coupled KdV-KdV systems. This talk is based on joint works with Bing-Yu Zhang.
报告人简介：杨鑫，本科于2011年毕业于清华大学，博士于2017年毕业于美国密歇根州立大学。之后分别在美国辛辛那提大学，弗吉尼亚理工大学和加州大学河滨分校从事过博士后和讲师职务。现任东南大学数学学院副研究员，从事偏微分方程和调和分析的研究，近年来的研究课题主要涉及发展方程（包括热方程，色散方程以及流体方程）的适定性和爆破问题。
报告邀请人：赵娜 博士