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Model Reduction in Kinetic Theory

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Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena

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Summary

Methods to derive macroscopic transport equations for rarefied gases from the Boltzmann equations are presented. Featured methods include the Chapman-Enskog expansion, Grad’s moment method, and the author’s order of magnitude method. The resulting macroscopic equations are compared and discussed by means of simple problems, including linear stability, shock wave structures, and Couette flow.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Victoria, PO Box STN CSC 3055, Victoria, BC, V8W 3P6, Canada

    H. Struchtrup

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  1. H. Struchtrup
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Leicester, University Road, LE1 7RH, Leicester, UK

    Alexander N. Gorban

  2. Institute of Computational Modeling, Russian Academy of Sciences, Russia

    Alexander N. Gorban

  3. Department of Chemical Engineering, Princeton University, Engineering Quadrangle A-217, Princeton, NJ, 08544-5263, USA

    Ioannis G. Kevrekidis

  4. School of Chemical Engineering and Analytical Science, University of Manchester, PO Box 88, Sackville St., Manchester, M60 1QD, UK

    Constantinos Theodoropoulos

  5. Department of Chemical Engineering, Worcester Polytechnic Institute, Institute Road 100, Worcester, MA, 01609-2280, USA

    Nikolaos K. Kazantzis

  6. Institut für Polymere, ETH Zürich, Wolfgang Pauli-Straße 10, CH-8093, Zürich, Switzerland

    Hans Christian Öttinger

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Struchtrup, H. (2006). Model Reduction in Kinetic Theory. In: Gorban, A.N., Kevrekidis, I.G., Theodoropoulos, C., Kazantzis, N.K., Öttinger, H.C. (eds) Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-35888-9_14

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