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On the Maxwell problem

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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–Enskog projection onto the phase space of consolidated variables. For small initial data we construct the Chapman–Enskog projection and describe its properties in the case of the Cauchy problem for moment approximations of kinetic equations. The existence conditions for the Chapman–Enskog projection are expressed in terms of the solvability of the Riccati matrix equations with parameter. Bibliography: 21 titles.

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  1. Moscow State University, Vorob’evy Gory, Moscow, 119991, Russia

    V. V. Palin & E. V. Radkevich

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  1. V. V. Palin
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  2. E. V. Radkevich
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Correspondence to E. V. Radkevich.

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Translated from Problems in Mathematical Analysis 39 February, 2009, pp. 27–63.

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Palin, V.V., Radkevich, E.V. On the Maxwell problem. J Math Sci 157, 816–857 (2009). https://doi.org/10.1007/s10958-009-9361-y

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