From the Boltzmann Equation to the Euler Equations in the Presence of BoundariesReport as inadecuate




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1 LJLL - Laboratoire Jacques-Louis Lions 2 CMLS - Centre de Mathématiques Laurent Schwartz

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.


Keywords : Navier-Stokes equations Euler equations Boltzmann equation Fluid dynamic limit Inviscid limit Slip coefficient Gas-surface interaction Scattering kernel Relative entropy method





Author: François Golse -

Source: https://hal.archives-ouvertes.fr/



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