报告题目:Some studies on a two-component cubic Camassa-Holm system with peakons
报 告 人:严凯 副教授(华中科技大学)
报告时间:2019年6月26日(星期三)上午10:00-11:00
报告地点:4号楼131室
邀 请 人:李用声 教授
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数学学院
2019年6月24日
报告摘要:
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,香江学者。
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。