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Global existence of weak solutions to some micro-macro models

dc.contributor.authorMasmoudi, Nader
dc.contributor.authorLions, Pierre-Louis
dc.date.accessioned2012-02-24T13:52:29Z
dc.date.available2012-02-24T13:52:29Z
dc.date.issued2007
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/8246
dc.description.abstractfrOn montre l'existence globale de solutions faibles à certains modèles micro-macro. En particulier on étudie le modèle FENE (le cas des ressorts) et le modèle de Doi (le cas des barres rigides). La preuve est basée sur la propagation de la compacité. Pour citer cet article : P.-L. Lions, N. Masmoudi, C. R. Acad. Sci. Paris, Ser. I 345 (2007).en
dc.language.isoenen
dc.subjectDoi modelen
dc.subjectFENE dumbbell modelen
dc.subjectweak solutionsen
dc.subjectEquations aux Dérivées Partiellesen
dc.subject.ddc515en
dc.titleGlobal existence of weak solutions to some micro-macro modelsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherCourant Institute of Mathematical Sciences;États-Unis
dc.description.abstractenWe prove the global existence of weak solutions for the co-rotational FENE dumbbell model and the Doi model also called the Rod model. The proof is based on propagation of compactness, namely if we take a sequence of weak solutions which converges weakly and such that the initial data converges strongly then the weak limit is also a solution. To cite this article: P.-L. Lions, N. Masmoudi, C. R. Acad. Sci. Paris, Ser. I 345 (2007).en
dc.relation.isversionofjnlnameComptes Rendus Mathematique
dc.relation.isversionofjnlvol345en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2007
dc.relation.isversionofjnlpages15-20en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.crma.2007.05.011en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelAnalyseen


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