Blowup of regular solutions for the relativistic Euler-Poisson equations

被引：10

作者：

Chan, Wai Hong ^{[1
]}

Wong, Sen ^{[1
]}

Yuen, Manwai ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 439卷 / 02期

关键词：

Relativistic Euler-Poisson equations; Integration method; Blowup; Initial value problem; Vacuum; Radial symmetry; LOCAL SMOOTH SOLUTIONS; REPULSIVE FORCE; SINGULARITIES;

D O I：

10.1016/j.jmaa.2016.01.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：925 / 936

页数：12

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