报告题目：Local well-posedness on Whitham type equations

报告人：裴龙

时间：2015-06-18

地点：数学院一楼报告厅

摘要：The Whitham equation was originally introduced as an alternative to the Korteweg-de Vries (KDV) equation for modelling shallow water waves. It is known to feature the exact linear dispersion relation for travelling gravity water waves. Based on Kato's theory about semi-group and Fourier analysis, we first give a well-posedness result for the Whitham equation for both periodic initial data and the data on the real line. Then, for generalized dispersion and nonlinearity, we give corresponding well-posedness results. To obtain these results, we need to apply some properties about the composition of functions from Besov spaces.

报告时间：6月18日下午4:30

报告人简介：

裴龙，挪威科技大学博士后。研究方向：主要从事非线性波方程的研究，包括电磁波方程，Whitham水波方程以及其它色散方程的定性分析。已在Nonlinear Analsysis TMA和Proceedings in Mathematics & Statistics (PROMS)上发表论文2篇。