报告人：严凯副教授（华中科技大学 ）
时 间：2019年6月25日上午 10:00-11:00
地点：华南数学应用与交叉研究中心学术报告厅111
题目： Some studies on a two-component cubic Camassa-Holm system with peakons
摘要：
In this talk, we will first briefly introduce the background of shallow water wave models such as the celebrated Camassa-Holm equation and some related equations with high order nonlinearity. Subsequently, the Cauchy problem for a two-component cubic Camassa-Holm system with peakons will be discussed. More precisely, we will establish its local well-posedness, derive the precise blow up criterion of strong solutions to the system, and exploit some useful conservation laws. Then with these conservation laws in hand, some blow-up strong solutions will be constructed. Finally, some further problems will be proposed as well.
报告人简介：
严凯2014年博士毕业于中山大学数学学院，2015年入职华中科技大学数学与统计学院，现为副教授。严凯主要从事非线性偏微分方程的研究，对浅水波模型的各类定解问题取得了一些科研成果，相关论文发表在CMP, Math. Z, Rev.Mat.Iberoam, JDE, DCDS-A等期刊杂志上。