arXiv:1111.0344 Abstract | arXiv Analytics

arXiv:1111.0344 [math.AP]Abstract References Reviews Resources

From the Boltzmann Equation to the Euler Equations in the Presence of Boundaries

Published 2011-11-01Version 1

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.

Comments: 22 pages, work presented at the Eighth International Conference for Mesoscopic Methods in Engineering and Science (ICMMES-2011), Lyon, July 4-8 2011

Journal: Computers and Mathematics with Applications 65 (2013), no. 6, 815-830

DOI: 10.1016/j.camwa.2012.02.009

Categories: math.AP, math-ph, math.MP

Subjects: 35Q30, 82B40, 76D05, 76B99

Keywords: boltzmann equation, euler equations, fluid dynamic limit, maxwells accomodation condition, material boundaries shares

Tags: conference paper, journal article

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