Diffusion approximation for billiards with totally accommodating scatterers

DOI10.1007/BF02180210zbMath0937.82042MaRDI QIDQ1285206

Claude Bardos, François Golse, Laurent Dumas

Publication date: 6 June 2000

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

zbMATH Keywords

homogenizationhydrodynamic limitperiodic Lorentz gasdiffusion coefficientmultiscale asymptotic expansiondispersive billiards

Mathematics Subject Classification ID

Related Items (5)

Rarefied gas flow over an in-line array of circular cylinders ⋮ Diffusion dynamics of classical systems driven by an oscillatory force ⋮ Asymptotic transport models for heat and mass transfer in reactive porous media ⋮ Large time dynamics of a classical system subject to a fast varying force ⋮ On the periodic Lorentz gas and the Lorentz kinetic equation

Cites Work

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• Markov partitions for dispersed billiards
• Statistical properties of Lorentz gas with periodic configuration of scatterers
• Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
• The mathematical theory of dilute gases
• Statistical properties of two-dimensional hyperbolic billiards
• THE CLASSICAL INCOMPRESSIBLE NAVIER-STOKES LIMIT OF THE BOLTZMANN EQUATION
• Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
• Markov partitions for two-dimensional hyperbolic billiards

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