带阻尼项的径向相对论Euler方程组正则解的破裂  

Blowup of regular solutions for radial relativistic Euler equations with damping

作　　者：刘见礼[1] 栾丽萍 房尧立 LIU Jianli;LUAN Liping;FANG Yaoli(College of Sciences,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2018年第3期608-618,共11页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(11401367);教育部博士点基金资助项目(20133108120002)

摘　　要：研究了带阻尼项的径向相对论Euler方程组的奇性形成问题.在初始值一定的假设下,得到系统正则解在有限时间内破裂.In this paper,we mainly consider the blowup of the regular solutions of the radial relativistic Euler equations with damping.Under the appropriate assumptions on the initial data,we obtain the singularity formation for the regular solutions to the Cauchy problem of the radial relativistic Euler equations with damping.

关 键 词：径向相对论Euler方程组 阻尼项 正则解 破裂 

分 类 号：O175.27[理学—数学]