The authors rigorously justify the incompressible Euler limit for shear flows from the Boltzmann equation in a half-space with Maxwell reflection boundary condition, including coupled Prandtl and Knudsen layers.
Briant, From the Boltzmann equation to the incompress ible Navier-Stokes equations on the torus: a quantitative error estimate
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Incompressible Euler limit from the Boltzmann equation with Maxwell reflection boundary condition in the half-space
The authors rigorously justify the incompressible Euler limit for shear flows from the Boltzmann equation in a half-space with Maxwell reflection boundary condition, including coupled Prandtl and Knudsen layers.