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From Discrete Velocity Boltzmann Equations to Gas Dynamics Before Shocks |
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| Authors: | Florent Berthelin Athanasios E. Tzavaras Alexis Vasseur |
| Affiliation: | (1) Laboratoire J.A. Dieudonné, UMR 6621 CNRS, Université de Nice, Parc Valrose, 06108 Nice Cedex 2, France;(2) Department of Mathematics, University of Maryland, College Park, 20742-4015, USA;(3) Department of Applied Mathematics and Institute for Applied and Computational Mathematics (FORTH), University of Crete, 71409 Heraklion, Greece;(4) Mathematics Department, University of Texas at Austin, 1 University Station C1200, Austin, TX 78712-0257, USA |
| Abstract: | This article is devoted to the proof of the hydrodynamic limit for a discrete velocity Boltzmann equation before appearance of shocks in the limit system. Partially supported by the National Science Foundation Grants DMS-0607053, DMS-0555272 and DMS-0757227, and by the program “Pythagoras” of the Greek Secretariat of Research. |
| Keywords: | Hydrodynamic limit Entropy methods Discrete Boltzmann equations Gas dynamics |
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