Anderson-Witting model of the relativistic Boltzmann equation near equilibrium

DOI10.1007/S10955-019-02330-3zbMath1429.83002arXiv1811.10023OpenAlexW3104409166WikidataQ127730836 ScholiaQ127730836MaRDI QIDQ2328691

Seok-Bae Yun, Byung-Hoon Hwang

Publication date: 10 October 2019

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

Full work available at URL: https://arxiv.org/abs/1811.10023

zbMATH Keywords

relativistic Boltzmann equationspecial relativitykinetic theory of gasesnonlinear energy methodAnderson-Witting modelrelativistic BGK model

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Special relativity (83A05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Boltzmann equations (35Q20)

Related Items (9)

Propagation phenomena of the solution for the relativistic BGK model ⋮ On a Relativistic BGK Model for Polyatomic Gases Near Equilibrium ⋮ Relativistic BGK model for massless particles in the FLRW spacetime ⋮ BGK Model for Two-Component Gases Near a Global Maxwellian ⋮ 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 ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Momentum regularity and stability of the relativistic Vlasov-Maxwell-Boltzmann system
• Large-time decay of the soft potential relativistic Boltzmann equation in \(\mathbb{R}^3_x\)
• Hilbert expansion from the Boltzmann equation to relativistic fluids
• Asymptotic stability of the relativistic Boltzmann equation for the soft potentials
• On the relativistic BGK-Boltzmann model: asymptotics and hydrodynamics
• The relativistic Boltzmann equation: Theory and applications
• On the linearized relativistic Boltzmann equation. II: Existence of hydrodynamics
• On the linearized relativistic Boltzmann equation. I: Existence of solutions
• Global existence proof for relativistic Boltzmann equation
• The geometry of binary collisions and generalized Radon transforms
• The Vlasov-Maxwell-Boltzmann system near Maxwellians
• Gain of regularity for the relativistic collision operator
• Relativistic ionized gases: Ohm and Fourier laws from Anderson and Witting model equation
• Propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation
• Global existence and asymptotic stability near equilibrium for the relativistic BGK model
• Stationary solutions to the boundary value problem for the relativistic BGK model in a slab
• Asymptotic stability of the relativistic Maxwellian
• Global Newtonian Limit for the Relativistic Boltzmann Equation near Vacuum
• The Newtonian limit of the relativistic Boltzmann equation
• Exact non-equilibrium solutions of the Einstein--Boltzmann equations
• Asymptotic stability of the relativistic Maxwellian via fourteen moments
• The Boltzmann equation in the whole space
• Kinetic theory for particle production
• Regularity of the Gain Term and Strong $L^1 $ Convergence to Equilibrium for the Relativistic Boltzmann Equation
• On the Cauchy problem for the relativistic Boltzmann equation in a periodic box:Global existence
• Cauchy problem for the Boltzmann-BGK model near a global Maxwellian
• Ellipsoidal BGK Model Near a Global Maxwellian
• Spatially Homogeneous Boltzmann Equation for Relativistic Particles
• The Spatially Homogeneous Relativistic Boltzmann Equation with a Hard Potential
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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