Show simple item record

dc.contributor.authorChambolle, Antonin
dc.contributor.authorDesjardins, Benoît
dc.contributor.authorEsteban, Maria J.
dc.contributor.authorGrandmont, Céline
dc.date.accessioned2011-05-04T13:02:51Z
dc.date.available2011-05-04T13:02:51Z
dc.date.issued2005
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6179
dc.language.isoenen
dc.subjectFluid-structure interactionen
dc.subjectNavier–Stokes equationsen
dc.subjectPlates equationsen
dc.subjectweak solutionsen
dc.subject.ddc515en
dc.titleExistence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plateen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThe purpose of this work is to study the existence of solutions for an unsteady fluid-structure interaction problem. We consider a three-dimensional viscous incompressible fluid governed by the Navier–Stokes equations, interacting with a flexible elastic plate located on one part of the fluid boundary. The fluid domain evolves according to the structure’s displacement, itself resulting from the fluid force. We prove the existence of at least one weak solution as long as the structure does not touch the fixed part of the fluid boundary. The same result holds also for a two-dimensional fluid interacting with a one-dimensional membrane.en
dc.relation.isversionofjnlnameJournal of Mathematical Fluid Mechanics
dc.relation.isversionofjnlvol7en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate2005
dc.relation.isversionofjnlpages368-404en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00021-004-0121-yen
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record