Stabilizing effect of the power law inflation on isentropic relativistic fluids

DOI10.1016/j.jde.2018.05.007zbMath1394.35341OpenAlexW2800366859MaRDI QIDQ1651941

Chang-Hua Wei

Publication date: 11 July 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.05.007

zbMATH Keywords

conformal transformationrelativistic Euler equationspower law inflation

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Stability in context of PDEs (35B35) Gas dynamics (general theory) (76N15) Special relativity (83A05) Blow-up in context of PDEs (35B44) Euler equations (35Q31)

Related Items (14)

Global existence and lifespan of smooth solutions of biwave maps ⋮ Stability of AVTD behavior Within the polarized \(\mathbb{T}^2\)-symmetric vacuum spacetimes ⋮ Stabilizing relativistic fluids on spacetimes with non-accelerated expansion ⋮ Finite-time blowup of smooth solutions for the relativistic generalized Chaplygin Euler equations ⋮ On the stability of relativistic perfect fluids with linear equations of state \(p=K\rho\) where \(1/3<K<1\) ⋮ The Lifespan of Smooth Solutions to Semilinear Wave Equations in Schwarzschild Space-Time ⋮ Localized big bang stability for the Einstein-scalar field equations ⋮ Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting) ⋮ Classical solution to relativistic Burger’s equation in SdS and SAdS space-times ⋮ The Fuchsian approach to global existence for hyperbolic equations ⋮ A Fuchsian viewpoint on the weak null condition ⋮ Global existence of smooth solutions for wave maps in de Sitter spacetime ⋮ Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$ ⋮ Long-time behaviour of classical solutions to the relativistic Euler equations with logarithmic equation of state

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