大连理工大学数学科学学院
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【中山大学】Local well-posedness and blow-up phenomenon for a generalization two component Camassa-Holm smyste

2018年07月04日 15:12  点击:[]

学术报告

报告题目:Local well-posedness and blow-up phenomenon for a generalization two component Camassa-Holm system

 

报告人黄景炽(中山大学数学学院)

 

报告时间:2018716日(星期一)14:00-15:00

报告地点:创新园大厦A1101

报告校内联系人:禹芳      联系电话84708351-8025 

报告摘要:A new generalized two component Camassa-Holm system is derived via the energy variational approach. This system has two parameter which depend on the energy functional. The initial value problem is investigated. The local well-posedness is obtained when the initial density is away from vacuum. Taking advantage of the method of characteristics and the conservation laws we prove a blow up criteria. According to the blow up criteria, we can prove the finite time blow up result under some suitable condition. Moreover, we give some exact expression of traveling solutions. This is a joint work with Yuhui Chen, Wei Luo and Fang Yu.     

 

报告人简介:黄景炽,2013年获得中国科学院数学所博士学位,2013年至2015年在美国宾州州立大学从事博士后研究工作。现在中山大学数学学院任职。目前主要研究流体力学中的偏微分方程。曾获中科院院长奖学金特等奖。目前在国际著名杂志Arch. Ration. Mech. Anal.,J. Funct. Anal.J. Math. Pures Appl.,等发表论文7篇,并且获得国家自然科学基金青年基金项目资助。

 

 

 

大连理工大学数学科学学院

201875

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