On weak and strong convergence to equilibrium for solutions to the linear Boltzmann equation

DOI10.1007/BF01048054zbMath1099.82516MaRDI QIDQ2499868

Rolf Pettersson

Publication date: 23 August 2006

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

zbMATH Keywords

boundary conditionstransport equationconvergence to equilibriuminitial boundary value problementropy functiondetailed balanceexternal forcecollision invariantsLinear Boltzmann equation\(H\)-functionalinfinite-range collisions

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

Existence of Solutions to the Stationary Linear Boltzmann Equation, On Boundedness of Higher Velocity Moments for the Linear Boltzmann Equation with Diffuse Boundary Conditions, The dissipative linear Boltzmann equation for hard spheres, Boltzmann asymptotics with diffuse reflection boundary conditions, Rates of convergence to equilibrium for collisionless kinetic equations in slab geometry, Linear diffusive limit of deterministic systems of hard spheres, On the rate of convergence to equilibrium for the linear Boltzmann equation with soft potentials, ON STATIONARY 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

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