On solutions to the linear Boltzmann equation with general boundary conditions and infinite-range forces.

DOI10.1007/BF01015576zbMath1083.82530OpenAlexW2143847683MaRDI QIDQ1963698

Rolf Pettersson

Publication date: 2 February 2000

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

Full work available at URL: https://doi.org/10.1007/bf01015576

zbMATH Keywords

boundary conditionstransport equationinitial boundary value problementropy functionlinear Boltzmann equationhigher moments\(H\)-functionaldetailed balance relationinfinite-range forcesmild \(L^1\)-solution

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (8)

On Boundedness of Higher Velocity Moments for the Linear Boltzmann Equation with Diffuse Boundary Conditions ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ ON STATIONARY SOLUTIONS TO THE LINEAR BOLTZMANN EQUATION ⋮ TIME–DEPENDENT KINETIC EQUATIONS WITH COLLISION TERMS RELATIVELY BOUNDED WITH RESPECT TO THE COLLISION FREQUENCY ⋮ On weak and strong convergence to equilibrium for solutions to the linear Boltzmann equation ⋮ On Time-Dependent and Stationary Solutions to the Linear Boltzmann Equation ⋮ On Solutions to the Linear Boltzmann Equation for Granular Gases ⋮ On Boltzmann equations and Fokker-Planck asymptotics: Influence of grazing collisions

Cites Work

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• On Solutions and Higher Moments for the Linear Boltzmann Equation with Infinite-Range Forces
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• On Solutions to the Linear Boltzmann Equation with External Electromagnetic Force

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