On the blow up solutions to a two-component cubic Camassa-Holm system with peakons

发布时间：2019-06-11 作者：浏览次数：

Speaker:	严凯	DateTime:	2019年6月20日（周四）上午10：00-11:00
Brief Introduction to Speaker: 严凯，华中科技大学数学与统计学院副教授。		Place:	六号楼二楼报告厅
Abstract: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.