The Newtonian limit of the relativistic Boltzmann equation

DOI10.1063/1.1793328zbMath1064.82030arXivmath-ph/0404043OpenAlexW3103530740MaRDI QIDQ3024094

Simone Calogero

Publication date: 30 June 2005

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0404043

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (17)

On a Relativistic BGK Model for Polyatomic Gases Near Equilibrium ⋮ Stability of the relativistic Vlasov-Maxwell-Boltzmann system for short range interaction ⋮ Asymptotic stability of the relativistic Boltzmann equation for the soft potentials ⋮ Momentum regularity and stability of the relativistic Vlasov-Maxwell-Boltzmann system ⋮ Propagation of \(L^p\) estimates for the spatially homogeneous relativistic Boltzmann equation ⋮ Stationary Solutions to the Anderson--Witting Model of the Relativistic Boltzmann Equation in a Bounded Interval ⋮ The relativistic Vlasov-Maxwell-Boltzmann system for short range interaction ⋮ On the relativistic BGK-Boltzmann model: asymptotics and hydrodynamics ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ Global Well-Posedness of the Relativistic Boltzmann Equation ⋮ Propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation ⋮ Global weak solutions to the relativistic BGK equation ⋮ Global existence of bounded solutions to the relativistic BGK model ⋮ UNIFORM L²-STABILITY ESTIMATES FOR THE RELATIVISTIC BOLTZMANN EQUATION ⋮ Asymptotic stability of the relativistic Boltzmann equation without angular cut-off ⋮ Anderson-Witting model of the relativistic Boltzmann equation near equilibrium

Cites Work

• The Boltzmann equation: global existence for a rare gas in an infinite vacuum
• The Boltzmann equation. I. Uniqueness and local existence
• Asymptotic stability of the relativistic Maxwellian
• On the derivatives of the collision map of relativistic particles

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