学术报告：2018年10月12日13：30开始，郁胜旗，南通大学

报告人

郁胜旗

单位

南通大学

报告题目

Continuous properties of the data-to-solution map for a generalized   µ-Camassa-Holm integrable equation

报告时间

10月12日

13：30开始

地点

九龙湖第一报告厅

邀请人

王小六

报告摘要

This work studies a   generalized µ-type integrable equation with both quadratic and cubic   nonlinearities; the µ-Camassa-Holm and modified µ-Camassa-Holm equations are   members of this family of equations. It has been shown that the Cauchy   problem for this generalized µ-Camassa-Holm integrable equation is locally   well-posed for initial

data u0 belongs to Hs, s   > 5/2. In this work, we further investigate the continuity properties to this   equation. It is proved in this work that the data-to-solution map of the   proposed quation is not uniformly continuous. It is also found that the   solution map is Holder continuous in the Hr-topology when 0 ≤ r < s with Holder   exponent α depending on both   s and r.

报告人简介

郁胜旗，南通大学副教授。主要从事Camassa-Holm方程解的定性研究，目前已发表十多篇论文。