Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$

DOI10.1137/20M1361195zbMath1476.35268arXiv2002.12526MaRDI QIDQ5005964

Todd Andrew Oliynyk

Publication date: 12 August 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.12526

zbMATH Keywords

global existencerelativistic Euler equationsFuchsian equationsFLRW spacetimesfuture global stability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Relativistic cosmology (83F05) First-order nonlinear hyperbolic equations (35L60) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Fuchsian PDEs (35Q07)

Related Items (8)

Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant ⋮ Stability of AVTD behavior Within the polarized \(\mathbb{T}^2\)-symmetric vacuum spacetimes ⋮ On the stability of relativistic perfect fluids with linear equations of state \(p=K\rho\) where \(1/3<K<1\) ⋮ Localized big bang stability for the Einstein-scalar field equations ⋮ Local well-posedness and singularity formation in non-Newtonian compressible fluids ⋮ Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting) ⋮ Self-similar solutions to the compressible Euler equations and their instabilities ⋮ The linear stability of the n + 1 dimensional FLRW spacetimes

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