网站地图 | 联系我们  
首页 中心概况 新闻动态 科研进展 交流合作 人才培养 研究队伍 人才招聘 政策规章 数学交叉科学传播
学术报告
现在位置:首页 > 学术报告

Shock formation in compressible Euler equations
【2014.7.10 4:00pm, N613】

【打印】【关闭】

 2014-7-10 

  Colloquia & Seminars 

  Speaker

Prof. Ronghua Pan,Georgia Institute of Technology 

  Title

Shock formation in compressible Euler equations 

  Time

2014.7.10 4:00pm  

  Venue

N613 

  Abstract

It is well-known that shock will form in finite time for hyperbolic conservation laws from initial compression no matter how small and smooth the data are. Classical results, including P. D. Lax, T. Liu, Li-Zhou-Kong, confirms that when initial data are small near constant states, nonlinear compression does lead to finite time shock formation. A natural puzzle is how this phenomena could be proved for large data. Joint with G. Chen and S. Zhu, we justify this expectation under some reasonable conditions for compressible Euler equations, in both isentropic and adiabatic cases. 

  Affiliation

 

欢迎访问国家数学与交叉科学中心 
地址:北京海淀区中关村东路55号 邮编:100190 电话: 86-10-62613242 Fax: 86-10-62616840 邮箱: ncmis@amss.ac.cn