Navier-Stokes equations interacting with a nonlinear elastic fluid shell

Simple item page
dc.creatorCheng, C. H. Arthur
dc.creatorCoutand, Daniel
dc.creatorShkoller, Steve
dc.date2006-04-13
dc.date2006-11-22
dc.date.accessioned2026-07-07T07:10:54Z
dc.date.available2026-07-07T07:10:54Z
dc.descriptionWe study a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic fluid shell. The fluid motion is governed by the Navier-Stokes equations, while the fluid shell is modeled by a bending energy which extremizes the Willmore functional and a membrane energy that extremizes the surface area of the shell. The fluid flow and shell deformation are coupled together by continuity of displacements and tractions (stresses) along the moving material interface. We prove existence and uniqueness of solutions in Sobolev spaces.
dc.description56 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0604313
dc.identifierhttp://arxiv.org/abs/math/0604313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111564
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q30, 74F10, 74K25
dc.titleNavier-Stokes equations interacting with a nonlinear elastic fluid shell
dc.typetext

Files

Collections

arXiv