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The Maxwell Problem (Mathematical Aspects)

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Continuous Media with Microstructure

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Abstract

We study the large-time behavior of global smooth solutions to the Cauchy problem for hyperbolic regularization of conservation laws. An attracting manifold of special smooth global solutions is determined by the Chapman projection onto the phase space of consolidated variables. For small initial data we construct the Chapman projection and describe its properties in the case of the Cauchy problem for moment approximations of kinetic equations. The existence conditions for the Chapman projection are expressed in terms of the solvability of the Riccati matrix equations with parameter.

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Authors and Affiliations

  1. Department Mech.-Math., Moscow State University, Vorobievy Gory, 119899, Moscow, Russia

    Evgeniy V. Radkevich

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  1. Evgeniy V. Radkevich
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Editors and Affiliations

  1. FG Grundbau und Bodenmechanik, Technische Universität Berlin, Gustav-Meyer-Allee 25, 13355, Berlin, Germany

    Bettina Albers

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Radkevich, E.V. (2010). The Maxwell Problem (Mathematical Aspects). In: Albers, B. (eds) Continuous Media with Microstructure. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11445-8_15

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  • DOI: https://doi.org/10.1007/978-3-642-11445-8_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11444-1

  • Online ISBN: 978-3-642-11445-8

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