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讲准字【2021】第071号:Separable Hamiltonian PDEs and Turning point principle for stability of gaseous stars

发布时间:2021-05-14|浏览次数:

讲座报告主题:Separable Hamiltonian PDEs and Turning point principle for stability of gaseous stars
专家姓名:曾崇纯
日期:2021-05-28 时间:10:00
地点:腾讯会议ID:471 629 795(无密码)
主办单位:数学科学学院、应用系统分析研究院 

主讲简介:曾崇纯,美国佐治亚理工学院终身教授,美国杨百翰大学博士毕业,主持多项美国国家自然科学基金,2004年获斯隆奖(Sloan Fellowship),2019年入选美国数学会会士(AMS Fellow)。他在国际顶尖数学期刊《Invent. Math.》 《 Comm. Pure Appl. Math.》 《Mem. Am. Math. Soc.》等发表论文30余篇。研究专长:研究方向为应用动力系统与非线性偏微分方程。

主讲内容简介:I will discuss some recent results (with Zhiwu Lin) on a stability criterion for non-rotating gaseous stars modeled by the Euler-Poisson system. Under some general assumptions on the equation of states, we proved a turning point principle that the stability of the stars is largely determined by the mass-radius curve parametrized by the center density. In particular, the stability can only change at points with an extremal mass. This stability criterion and the semi-group estimates for the linearized equation Euler-Poisson equation are obtained as a special case in a general framework of linear separable Hamiltonian PDEs.


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