37000gcom威尼斯2024第 18 期 数理大讲堂

主讲人：朱铭旋 副教授

主持人：周勇 教授

讲座时间：2024年5月14日下午16:05—17：05

讲座地点：37000gcom威尼斯3B205

讲座题目：Some Analysis Results about Shallow Water Equations

摘要：We study an integrable Camassa-Holm (CH) type equation with quadratic nonlinearity. The CH type equation is shown integrable through a Lax pair, and particularly the equation is found to possess a new kind of peaked soliton (peakon) solution - called rogue peakon, that is given in a rational form with some logarithmic function. Furthermore, we discuss the local well-posedness of the solution in the Besov space, and then prove the ill-posedness of the solution. Moreover, we establish the global existence and blow-up phenomenon of the solution.

个人简介：

朱铭旋， 曲阜师范大学， 博士，副教授，硕士研究生导师。