Diffusive limit for finite velocity Boltzmann kinetic models

dc.contributor.author	Lions, Pierre-Louis
dc.contributor.author	Toscani, Giuseppe
dc.date.accessioned	2011-05-02T14:11:09Z
dc.date.available	2011-05-02T14:11:09Z
dc.date.issued	1997
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/6137
dc.language.iso	en	en
dc.subject	Rosseland approximation	en
dc.subject	radiative transfer theory	en
dc.subject	nonlinear parabolic equations	en
dc.subject	Boltzmann kinetic models	en
dc.subject.ddc	515	en
dc.title	Diffusive limit for finite velocity Boltzmann kinetic models	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	We investigate, in the diffusive scaling, the limit to the macroscopic description of finite-velocity Boltzmann kinetic models, where the rate coefficient in front of the collision operator is assumed to be dependent of the mass density. It is shown that in the limit the flux vanishes, while the evolution of the mass density is governed by a nonlinear parabolic equation of porous medium type. In the last part of the paper we show that our method adapts to prove the so-called Rosseland approximation in radiative transfer theory.	en
dc.relation.isversionofjnlname	Revista Matematica Iberoamericana
dc.relation.isversionofjnlvol	13	en
dc.relation.isversionofjnlissue	3	en
dc.relation.isversionofjnldate	1997
dc.relation.isversionofjnlpages	473-513	en
dc.description.sponsorshipprivate	oui	en
dc.relation.isversionofjnlpublisher	Real Sociedad Matemática Española	en
dc.subject.ddclabel	Analyse	en

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