The Maxwell problem and the Chapman projection

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 da...

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Autores principales:	Palin,V. V, Radkevich,E. V
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
Materias:	closure the state equation the Chapman projection matrix equation dynamic separation inertional manifold
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200017
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spelling	oai:scielo:S0719-064620100002000172018-10-08The Maxwell problem and the Chapman projectionPalin,V. VRadkevich,E. V closure the state equation the Chapman projection matrix equation dynamic separation inertional manifold 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.2 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200017en10.4067/S0719-06462010000200017
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	closure the state equation the Chapman projection matrix equation dynamic separation inertional manifold
spellingShingle	closure the state equation the Chapman projection matrix equation dynamic separation inertional manifold Palin,V. V Radkevich,E. V The Maxwell problem and the Chapman projection
description	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.
author	Palin,V. V Radkevich,E. V
author_facet	Palin,V. V Radkevich,E. V
author_sort	Palin,V. V
title	The Maxwell problem and the Chapman projection
title_short	The Maxwell problem and the Chapman projection
title_full	The Maxwell problem and the Chapman projection
title_fullStr	The Maxwell problem and the Chapman projection
title_full_unstemmed	The Maxwell problem and the Chapman projection
title_sort	maxwell problem and the chapman projection
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2010
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200017
work_keys_str_mv	AT palinvv themaxwellproblemandthechapmanprojection AT radkevichev themaxwellproblemandthechapmanprojection AT palinvv maxwellproblemandthechapmanprojection AT radkevichev maxwellproblemandthechapmanprojection
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The Maxwell problem and the Chapman projection

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