We establish a Navier-Stokes-Fourier limit for solutions to the Boltzmann equation considered over a bounded domain. The main new result presented here is that this convergence is strong in the case of Dirichlet boundary condition. Indeed, we prove that the acoustic waves are damped immediately which means that they create a boundary layer in time. This damping is due to the presence of viscous and kinetic boundary layers in space. This is a join result with Ning Jiang.
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