Stabilizing effect of the power law inflation on isentropic relativistic fluids

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:265

Article

Wei, Changhua¹ 

[1] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

关键词: Relativistic Euler equations;    Power law inflation;    Conformal transformation;   

DOI  :  10.1016/j.jde.2018.05.007

来源: Elsevier

【 摘 要 】

This paper is concerned with the stabilizing effect of the power law inflation on relativistic Eulerian fluids. We prove the global stability of the background solutions to the relativistic fluids including the isothermal gases and generalized Chaplygin gases by the method of conformal transformation when the initial data is a small perturbation to the background solution. We also prove the blowup phenomena of the relativistic Euler fluids including the isothermal gases and polytropic gases when the initial data satisfies suitable assumptions. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free