The Incompressible Navier-Stokes Limit of the Boltzmann Equation for Hard Cutoff Potentials

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dc.creatorGolse, François
dc.creatorSaint-Raymond, Laure
dc.date2008-08-01
dc.date2009-04-24
dc.date.accessioned2026-07-07T13:07:32Z
dc.date.available2026-07-07T13:07:32Z
dc.descriptionThe 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.
dc.description56 pages, LaTeX, a few typos have been corrected, a few remarks added, one uncited reference removed
dc.identifierhttps://arxiv.org/abs/0808.0039
dc.identifierhttp://arxiv.org/abs/0808.0039
dc.identifierJ. Math. Pures Appl. 91 (2009) 508-552
dc.identifierdoi:10.1016/j.matpur.2009.01.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228118
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q35; 35Q30, 82C40
dc.titleThe Incompressible Navier-Stokes Limit of the Boltzmann Equation for Hard Cutoff Potentials
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