THE EINSTEIN–BOLTZMANN SYSTEM AND POSITIVITY

DOI10.1142/S0219891613500033zbMath1269.82055arXiv1203.2471MaRDI QIDQ2836510

Alan D. Rendall, Ho Lee

Publication date: 3 July 2013

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

Full work available at URL: https://arxiv.org/abs/1203.2471

zbMATH Keywords

general relativitykinetic theoryEinstein-Boltzmann system

Mathematics Subject Classification ID

Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (9)

Asymptotic behaviour of the relativistic Boltzmann equation in the Robertson-Walker spacetime ⋮ Inhomogeneous relativistic Boltzmann equation near vacuum in the Robertson-Walker space-time ⋮ The relativistic Boltzmann equation on a spherically symmetric gravitational field ⋮ Nonnegativity and well-posedness of the regular solution of the magnetized Boltzmann equation ⋮ The relativistic Boltzmann equation on Bianchi type I space time for hard potentials ⋮ Future global existence and asymptotic behaviour of solutions to the Einstein-Boltzmann system with Bianchi I symmetry ⋮ The Spatially Homogeneous Relativistic Boltzmann Equation with a Hard Potential ⋮ Asymptotic stability of the relativistic Boltzmann equation on Bianchi type I space-time with a hard potential ⋮ Asymptotic behaviour of the Boltzmann equation as a cosmological model

Cites Work

• Coordinates in the relativistic Boltzmann theory
• Global existence of solutions for the Einstein-Boltzmann system with cosmological constant in the Robertson-Walker space-time
• Existence, uniqueness, and local stability for the Einstein-Maxwell- Boltzmann system
• Global existence of solutions for the relativistic Boltzmann equation with arbitrarily large initial data on a Bianchi type I space-time
• ON NONNEGATIVITY OF SOLUTIONS OF THE BOLTZMANN EQUATION
• Global Newtonian Limit for the Relativistic Boltzmann Equation near Vacuum
• On the derivatives of the collision map of relativistic particles
• Global existence of solutions for the Einstein–Boltzmann system in a Bianchi type I spacetime for arbitrarily large initial data
• The Einstein-Vlasov system/kinetic theory

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