Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry

DOI10.1016/j.anihpc.2020.09.005zbMath1464.83026arXiv1512.03754OpenAlexW3084600713MaRDI QIDQ2664474

Chang-Hua Wei, Philippe G. LeFloch

Publication date: 20 April 2021

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03754

zbMATH Keywords

conformal transformationgeneralized Chaplygin gasEinstein-Euler equationsFLRW cosmologywave gauge

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Einstein equations (35Q76) Euler equations (35Q31)

Related Items (9)

Global existence and lifespan of smooth solutions of biwave maps ⋮ Future stability of the FLRW spacetime for a large class of perfect fluids ⋮ On the stability of relativistic perfect fluids with linear equations of state \(p=K\rho\) where \(1/3<K<1\) ⋮ The lifespan of 3D radial solutions to the non-isentropic relativistic Euler equations ⋮ 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) ⋮ The linear stability of the n + 1 dimensional FLRW spacetimes ⋮ A Fuchsian viewpoint on the weak null condition ⋮ Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$

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