From the Boltzmann Equation to the Euler Equations in the Presence of Boundaries - École polytechnique Access content directly
Conference Papers Computers & Mathematics with Applications Year : 2013

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, Comm. Math. Sci., 10 (2012), 159-190] to the case of boundary conditions for the Boltzmann equation more general than Maxwell's accomodation condition.
Fichier principal
Vignette du fichier
LyonProc.pdf (227.49 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00637344 , version 1 (01-11-2011)

Identifiers

Cite

François Golse. From the Boltzmann Equation to the Euler Equations in the Presence of Boundaries. ICMMES-2011 (International Conference for Mesoscopic Methods in Engineering and Science 2011), Jul 2011, Lyon, France. pp.815-830, ⟨10.1016/j.camwa.2012.02.009⟩. ⟨hal-00637344⟩
391 View
600 Download

Altmetric

Share

Gmail Facebook X LinkedIn More