Blowup of regular solutions for the relativistic Euler-Poisson equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:439

Article

Chan, Wai Hong¹  Wong, Sen¹  Yuen, Manwai¹ 

[1] Hong Kong Inst Educ, Dept Math & Informat Technol, 10 Lo Ping Rd, Tai Po, Hong Kong, Peoples R China

关键词: Relativistic Euler-Poisson equations;    Integration method;    Blowup;    Initial value problem;    Vacuum;    Radial symmetry;   

DOI  :  10.1016/j.jmaa.2016.01.031

来源: Elsevier

【 摘 要 】

In this paper, we study the blowup phenomena for the regular solutions of the isentropic relativistic Euler-Poisson equations with a vacuum state in spherical symmetry. Using a general family of testing functions, we obtain new blowup conditions for the relativistic Euler-Poisson equations. We also show that the proposed blowup conditions are valid regardless of the speed requirement, which was one of the key constraints stated in Geng (2015) [1]. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free