Show simple item record

Well-posedness of a multiscale model for concentrated suspensions

dc.contributor.authorGati, Yousra
dc.contributor.authorCatto, Isabelle
HAL ID: 742722
ORCID: 0000-0002-5463-2340
dc.contributor.authorCancès, Eric
dc.contributor.authorLe Bris, Claude
dc.date.accessioned2009-07-08T15:15:21Z
dc.date.available2009-07-08T15:15:21Z
dc.date.issued2005
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/1007
dc.language.isoenen
dc.subjectCauchy problem
dc.subjectpartial differential equation
dc.subjectCouette flow
dc.subjectconcentrated suspension
dc.subjectnon-Newtonian fluid
dc.subject.ddc519en
dc.titleWell-posedness of a multiscale model for concentrated suspensionsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherINRIA - Ecole Nationale des Ponts et Chaussées;France
dc.description.abstractenIn a previous work [math.AP/0305408] three of us have studied a nonlinear parabolic equation arising in the mesoscopic modelling of concentrated suspensions of particles that are subjected to a given time-dependent shear rate. In the present work we extend the model to allow for a more physically relevant situation when the shear rate actually depends on the macroscopic velocity of the fluid, and as a feedback the macroscopic velocity is influenced by the average stress in the fluid. The geometry considered is that of a planar Couette flow. The mathematical system under study couples the one-dimensional heat equation and a nonlinear Fokker-Planck type equation with nonhomogeneous, nonlocal and possibly degenerate, coefficients. We show the existence and the uniqueness of the global-in-time weak solution to such a system.en
dc.relation.isversionofjnlnameMultiscale Modeling & Simulation
dc.relation.isversionofjnlvol4en
dc.relation.isversionofjnlissue4en
dc.relation.isversionofjnldate2005
dc.relation.isversionofjnlpages1041-1058en
dc.relation.isversionofdoihttp://dx.doi.org/10.1137/040621223
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00122454/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSIAM
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record