The Incompressible Navier-Stokes Limit of the Boltzmann Equation for Hard Cutoff Potentials
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The present paper proves that all limit points of sequences of renormalized solutions of the Boltzmann equation in the limit of small, asymptotically equivalent Mach and Knudsen numbers are governed by Leray solutions of the Navier-Stokes equations. This convergence result holds for hard cutoff potentials in the sense of H. Grad, and therefore completes earlier results by the same authors [Invent. Math. 155, 81-161(2004)] for Maxwell molecules.
56 pages, LaTeX, a few typos have been corrected, a few remarks added, one uncited reference removed
56 pages, LaTeX, a few typos have been corrected, a few remarks added, one uncited reference removed