Paper Info
Title
From the Boltzmann equation to the Euler equations in the presence of boundaries
Abstract
The fluid dynamic limit of the Boltzmann equation leading to the Euler equations for an incompressible fluid with constant density in the presence of material boundaries shares some important features with the better known inviscid limit of the Navier-Stokes equations. The present paper slightly extends recent results from [C. Bardos, F. Golse, L. Paillard, The incompressible Euler limit of the Boltzmann equation with accommodation Boundary condition, Comm. Math. Sci., 10 (2012), 159-190] to the case of boundary conditions for the Boltzmann equation more general than Maxwell's accommodation condition.
Year
DOI
Venue
2013
10.1016/j.camwa.2012.02.009
Computers & Mathematics with Applications
Keywords
Field
DocType
accommodation condition,incompressible euler limit,fluid dynamic limit,incompressible fluid,euler equation,boundary condition,accommodation boundary condition,inviscid limit,boltzmann equation,navier-stokes equation,fluid dynamics,mathematical analysis,euler equations
Boltzmann equation,Mathematical optimization,Mathematical analysis,Lattice Boltzmann methods,Laplace's equation,Semi-implicit Euler method,Backward Euler method,Euler equations,Mathematics,Direct simulation Monte Carlo,Navier–Stokes equations
Journal
Volume
Issue
ISSN
65
6
Computers and Mathematics with Applications 65 (2013), no. 6, 815-830
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
FrançOis Golse101.35