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2006 Derivation of hydrodynamic limit from Knudsen gas model
Christian Dogbe
Differential Integral Equations 19(6): 681-696 (2006). DOI: 10.57262/die/1356050358


We prove that the solutions of the kinetic equation modelling the reflection of particles according to a reversible law and considered on the $n$-torus converge to the diffusion equation when the main free path goes to zero. This extends the work of Bardos, Golse and Colonna [2] to the case of any $n$-dimensional torus ergodic automorphism.


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Christian Dogbe. "Derivation of hydrodynamic limit from Knudsen gas model." Differential Integral Equations 19 (6) 681 - 696, 2006.


Published: 2006
First available in Project Euclid: 21 December 2012

zbMATH: 1212.82006
MathSciNet: MR2234719
Digital Object Identifier: 10.57262/die/1356050358

Primary: 82C40
Secondary: 28D05 , 35B25 , 35F25 , 76A02 , 76P05

Rights: Copyright © 2006 Khayyam Publishing, Inc.

Vol.19 • No. 6 • 2006
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