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

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

2011-11-01

arxiv.org/abs/1111.0344v1

Mathematics

Analysis of PDEs

22 pages, work presented at the Eighth International Conference for Mesoscopic Methods in Engineering and Science (ICMMES-2011

Scientific paper

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.

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