Palin, V. V.; Radkevich, E. V. The Maxwell problem and the Chapman projection. (English) Zbl 1283.35055 Cubo 12, No. 2, 275-298 (2010). Summary: 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. MSC: 35L65 Hyperbolic conservation laws 35B40 Asymptotic behavior of solutions to PDEs 35Q40 PDEs in connection with quantum mechanics 82C40 Kinetic theory of gases in time-dependent statistical mechanics Keywords:closure; state equation; Chapman projection; matrix equation; dynamic separation; inertial manifold PDFBibTeX XMLCite \textit{V. V. Palin} and \textit{E. V. Radkevich}, Cubo 12, No. 2, 275--298 (2010; Zbl 1283.35055) Full Text: DOI