Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:489

Article

Cheung, Ka Luen¹  Wong, Sen¹ 

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

关键词: Blowup;    Subluminal condition;    Relativistic Euler equations;    Generalized Chaplygin gas;    Singularity;    Smooth solutions;   

DOI  :  10.1016/j.jmaa.2020.124193

来源: Elsevier

【 摘 要 】

In this paper, the Cauchy problem of the 3 + 1-dimensional relativistic Euler equations for generalized Chaplygin gas with non-vacuum initial data is considered. It is shown that for large background energy-mass density and small pressure coefficient, the smooth solutions of the relativistic Euler equations for generalized Chaplygin gas with the generalized subluminal condition will blow up on finite time when the initial radial component of the generalized momentum is sufficiently large. Moreover, our blowup condition is independent of the signs of the generalized mass. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free