Inhomogeneous relativistic Boltzmann equation near vacuum in the Robertson-Walker space-time

DOI10.5802/AIF.3101zbMath1401.83003arXiv1609.05613OpenAlexW2964322036MaRDI QIDQ1687886

Peng Zhang

Publication date: 4 January 2018

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05613

zbMATH Keywords

relativistic Boltzmann equationmild solutioninhomogeneousRobertson-Walker

Mathematics Subject Classification ID

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) Boltzmann equations (35Q20)

Related Items (5)

Global existence of the classical solutions for the inhomogeneous relativistic Boltzmann equation near vacuum in the Robertson-Walker space-time ⋮ The relativistic Boltzmann equation on a spherically symmetric gravitational field ⋮ Asymptotic-stability of the inhomogeneous Boltzmann equation in the Robertson–Walker space–time with Israel particles ⋮ The relativistic Enskog equation near the vacuum in the Robertson-Walker space-time ⋮ Global existence theorem of mild solutions of the Boltzmann equation for short range interactions

Cites Work

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• Asymptotic stability of the relativistic Boltzmann equation for the soft potentials
• Global solutions to the Cauchy problem for the relativistic Boltzmann equation with near-vacuum data
• Global existence of solutions for the Einstein-Boltzmann system with cosmological constant in the Robertson-Walker space-time
• On the linearized relativistic Boltzmann equation. I: Existence of solutions
• Global existence of solutions for the relativistic Boltzmann equation with arbitrarily large initial data on a Bianchi type I space-time
• Problème de Cauchy pour le système intégro-différentiel d'Einstein-Liouville. (Cauchy problem for the Einstein-Liouville integro-differential system)
• Asymptotic behaviour of the relativistic Boltzmann equation in the Robertson-Walker spacetime
• THE EINSTEIN–BOLTZMANN SYSTEM AND POSITIVITY
• 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 Spatially Homogeneous Relativistic Boltzmann Equation with a Hard Potential

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