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dc.contributor.authorLacave, Christophe
dc.contributor.authorHillairet, Matthieu
dc.contributor.authorErvedoza, Sylvain
dc.date.accessioned2013-01-25T08:56:09Z
dc.date.available2013-01-25T08:56:09Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/10881
dc.language.isoenen
dc.subjectviscosityen
dc.subjectfluid-rigid disk systemen
dc.subjectNavier-Stokes equationsen
dc.subject.ddc515en
dc.titleLong-time behavior for the two-dimensional motion of a disk in a viscous fluiden
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherInstitut de Mathématiques de Jussieu (IMJ) http://www.institut.math.jussieu.fr/ CNRS : UMR7586 – Université Paris VI - Pierre et Marie Curie – Université Paris VII - Paris Diderot;France
dc.contributor.editoruniversityotherInstitut de Mathématiques de Toulouse (IMT) Université Paul Sabatier - Toulouse III – Université Toulouse le Mirail - Toulouse II – Université des Sciences Sociales - Toulouse I – Institut National des Sciences Appliquées (INSA) - Toulouse – CNRS : UMR5219;France
dc.description.abstractenIn this article, we study the long-time behavior of solutions of the two-dimensional fluid-rigid disk problem. The motion of the fluid is modeled by the two-dimensional Navier-Stokes equations, and the disk moves under the influence of the forces exerted by the viscous fluid. We first derive $L^p$-$L^q$ decay estimates for the linearized equations and compute the first term in the asymptotic expansion of the solutions of the linearized equations. We then apply these computations to derive time-decay estimates for the solutions to the full Navier-Stokes fluid-rigid disk system.en
dc.relation.isversionofjnlnameCommunications in Mathematical Physics
dc.relation.isversionofjnlvol329
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnldate2014
dc.relation.isversionofjnlpages325-382
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00220-014-1884-5
dc.identifier.urlsitehttp://fr.arxiv.org/abs/1301.4420en
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelAnalyseen
dc.description.submittednonen


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