Differential and Integral Equations

Derivation of hydrodynamic limit from Knudsen gas model

Christian Dogbe

Abstract

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.

Article information

Source
Differential Integral Equations, Volume 19, Number 6 (2006), 681-696.

Dates
First available in Project Euclid: 21 December 2012