Spatially Homogeneous Boltzmann Equation for Relativistic Particles

DOI10.1137/130923531zbMath1321.35127OpenAlexW2081766720MaRDI QIDQ5415083

Robert M. Strain, Seok-Bae Yun

Publication date: 9 May 2014

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

Full work available at URL: https://doi.org/10.1137/130923531

zbMATH Keywords

Cauchy problemreductiondifferential inequalityexistence and uniquenessrelativistic particlesspatially homogeneous Boltzmann equationPovzner inequality

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

Related Items (13)

On a Relativistic BGK Model for Polyatomic Gases Near Equilibrium ⋮ 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 ⋮ Chaotic distributions for relativistic particles ⋮ The massless Einstein–Boltzmann system with a conformal gauge singularity in an FLRW background ⋮ Global existence and asymptotic stability near equilibrium for the relativistic BGK model ⋮ The relativistic quantum Boltzmann equation near equilibrium ⋮ Propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation ⋮ Global existence of bounded solutions to the relativistic BGK model ⋮ Finite speed of propagation of the relativistic Landau and Boltzmann equations ⋮ Asymptotic stability of the relativistic Boltzmann equation without angular cut-off ⋮ Anderson-Witting model of the relativistic Boltzmann equation near equilibrium ⋮ The spatially homogeneous Boltzmann equation for massless particles in an FLRW background

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