In this paper, we prove the compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space by employing the Hilbert expansion which includes interior and Knudsen layers. This rigorously justifies the corresponding formal analysis in Sones book cite{Sone-2007-Book} in the context of short time smooth solutions. In particular, different with previous works in this direction, no Prandtl layers are needed.
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