Global weak solutions to the relativistic BGK equation
DOI10.1080/03605302.2019.1669642zbMath1437.35659arXiv1902.07453OpenAlexW2976110342MaRDI QIDQ4960219
Pierre-Emmanuel Jabin, Juan Soler, Juan G. Calvo
Publication date: 9 April 2020
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.07453
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Weak solutions to PDEs (35D30) Boltzmann equations (35Q20)
Related Items (5)
Cites Work
- Momentum regularity and stability of the relativistic Vlasov-Maxwell-Boltzmann system
- 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
- Stability of the relativistic Maxwellian in a collisional plasma
- Global existence to the BGK model of Boltzmann equation
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Asymptotic completeness for relativistic kinetic equations with short-range interaction forces
- On the linearized relativistic Boltzmann equation. I: Existence of solutions
- Global existence proof for relativistic Boltzmann equation
- Global existence of solutions of the spherically symmetric Vlasov- Einstein system with small initial data
- The Boltzmann equation and its applications
- Second-order accurate kinetic schemes for the ultra-relativistic Euler equations.
- Kinetic schemes for the relativistic gas dynamics
- Velocity averaging in \(L^1\) for the transport equation
- Second-order accurate genuine BGK schemes for the ultra-relativistic flow simulations
- Kinetic theory and fluid dynamics
- Optimal time decay of the non cut-off Boltzmann equation in the whole space
- On the hyperbolicity and causality of the relativistic Euler system under the kinetic equation of state
- 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
- Anderson-Witting model of the relativistic Boltzmann equation near equilibrium
- Asymptotic stability of the relativistic Maxwellian
- Problème de Cauchy pour le système intégro-différentiel d'Einstein-Liouville. (Cauchy problem for the Einstein-Liouville integro-differential system)
- Global Newtonian Limit for the Relativistic Boltzmann Equation near Vacuum
- The Newtonian limit of the relativistic Boltzmann equation
- ON THE ASYMPTOTIC ANALYSIS OF THE BGK MODEL TOWARD THE INCOMPRESSIBLE LINEAR NAVIER–STOKES EQUATION
- Boltzmann Type Schemes for Gas Dynamics and the Entropy Property
- Asymptotic stability of the relativistic Maxwellian via fourteen moments
- Limite asymptotique pour le modèle de BGK
- From the BGK model to the Navier–Stokes equations
- DISCRETE TIME NAVIER-STOKES LIMIT FOR THE BGK BOLTZMANN EQUATION
- A BGK-Type Flux-Vector Splitting Scheme for the Ultrarelativistic Euler Equations
- Regularity of the Gain Term and Strong $L^1 $ Convergence to Equilibrium for the Relativistic Boltzmann Equation
- ON THE ASYMPTOTIC ANALYSIS OF KINETIC MODELS TOWARDS THE COMPRESSIBLE EULER AND ACOUSTIC EQUATIONS
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
- Numerical hydrodynamics in special relativity
- The Einstein-Vlasov system/kinetic theory
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Global weak solutions to the relativistic BGK equation