Navier-Stokes equations interacting with a nonlinear elastic solid shell

Simple item page
dc.creatorCheng, C. H. Arthur
dc.creatorCoutand, Daniel
dc.creatorShkoller, Steve
dc.date2006-11-22
dc.date.accessioned2026-07-07T07:33:13Z
dc.date.available2026-07-07T07:33:13Z
dc.descriptionWe study a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic solid shell. The fluid motion is governed by the Navier-Stokes equations, while the shell is modeled by the nonlinear Koiter shell model, consisting of both bending and membrane tractions. The fluid is coupled to the solid shell through continuity of displacements and tractions (stresses) along the moving material interface. We prove existence and uniqueness of solutions in Sobolev spaces.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0611670
dc.identifierhttp://arxiv.org/abs/math/0611670
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119377
dc.subjectAnalysis of PDEs
dc.subject35Q30, 74F10, 74K25
dc.titleNavier-Stokes equations interacting with a nonlinear elastic solid shell
dc.typetext

Files

Collections

arXiv