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• W2012574447 abstract "Next article Decay to Equilibrium for the Carleman Model in a BoxReinhard Illner and Michael C. ReedReinhard Illner and Michael C. Reedhttps://doi.org/10.1137/0144076PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractWe prove global decay to the homogenous equilibrium state for the simplest discrete velocity approximation to the Boltzmann equation.[1] K. Asano and , Y. Shizuta, Global solutions of the Boltzmann equation in a bounded convex domain, Proc. Japan Acad. Ser. A Math. Sci., 53 (1977), 3–5 57:6861 0382.35047 CrossrefGoogle Scholar[2] R. Illner, Global existence for two-velocity models of the Boltzmann equation, Math. Methods Appl. Sci., 1 (1979), 187–193 80j:82003 0439.76066 CrossrefGoogle Scholar[3] Reinhard Illner, Mild solutions of hyperbolic systems with $Lsp{1}sb{+}$ and $Lsp{infty }sb{+}$ initial data, Transport Theory Statist. Phys., 13 (1984), 431–453 86f:35119 0875.35058 CrossrefGoogle Scholar[4] R. Illner and , M. Reed, The decay of solutions of the Carleman model, Math. Methods Appl. Sci., 3 (1981), 121–127 82e:76052 0563.76073 CrossrefGoogle Scholar[5] Kiyoshi Inoue and , Takaaki Nishida, On the Broadwell model of the Boltzmann equation for a simple discrete velocity gas, Appl. Math. Optim., 3 (1976), 27–49 55:14027 0361.76081 CrossrefISIGoogle Scholar[6] Yasushi Shizuta, On the classical solutions of the Boltzmann equation, Comm. Pure Appl. Math., 36 (1983), 705–754 85e:76043 0515.35002 CrossrefISIGoogle Scholar Next article FiguresRelatedReferencesCited byDetails The Building Materials Production Process and Uneven Heating3 September 2022 Cross Ref Well-posedness, smooth dependence and centre manifold reduction for a semilinear hyperbolic system from laser dynamics1 January 2007 | Mathematical Methods in the Applied Sciences, Vol. 30, No. 8 Cross Ref The nonlinear diffusion limit for generalized Carleman models: the initial-boundary value problem8 March 2007 | Nonlinearity, Vol. 20, No. 4 Cross Ref Large time behavior of the broadwell model of a discrete velocity gas with specularly reflective boundary conditionsArchive for Rational Mechanics and Analysis, Vol. 111, No. 4 Cross Ref Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the TheoryTadeusz Platkowski and Reinhard Illner18 July 2006 | SIAM Review, Vol. 30, No. 2AbstractPDF (4448 KB)Mild solutions of hyperbolic systems with L 1+ and L ∞+ initial data6 December 2011 | Transport Theory and Statistical Physics, Vol. 13, No. 3-4 Cross Ref Volume 44, Issue 6| 1984SIAM Journal on Applied Mathematics History Submitted:30 August 1983Published online:12 July 2006 InformationCopyright © 1984 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0144076Article page range:pp. 1067-1075ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics" @default.
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• W2012574447 title "Decay to Equilibrium for the Carleman Model in a Box" @default.
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