Boundary layers and incompressible Navier-Stokes-Fourier limit of the Boltzmann equation in a bounded domain
Boundary layers and incompressible Navier-Stokes-Fourier limit of the Boltzmann equation in a bounded domain
In this note, we review the recent work [23] on the boundary layer and incompressible Navier-Stokes-Fourier limit of the Boltzmann equation with a general cut-off collision in a bounded domain.Appropriately scaled families of DiPerna-Lions-(Mischler) renormalized solutions with Maxwell reflection boundary conditions are shown to have fluctuations that converge as the …