From the Boltzmann equation to the Euler equations in the presence of boundaries

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.