Global Existence with Small Initial Data for Three-Dimensional Incompressible Isotropic Viscoelastic Materials

Simple item page
dc.creatorKessenich, Paul
dc.date2009-03-16
dc.date.accessioned2026-07-07T12:52:56Z
dc.date.available2026-07-07T12:52:56Z
dc.descriptionGlobal existence for a system of nonlinear partial differential equations (PDE) modeling an isotropic incompressible viscoelastic material is proved. The structure of the PDE is derived through constitutive assumptions on the material. Restriction on the size of the initial displacement and velocity for the model is specified independent of the size of the viscosity of the material. The proof of global existence combines use of vector fields, local energy decay estimates, generalized Sobolev inequalities, and hyperbolic energy estimates.
dc.description44 pages
dc.identifierhttps://arxiv.org/abs/0903.2824
dc.identifierhttp://arxiv.org/abs/0903.2824
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223458
dc.subjectAnalysis of PDEs
dc.subject35M10
dc.titleGlobal Existence with Small Initial Data for Three-Dimensional Incompressible Isotropic Viscoelastic Materials
dc.typetext

Files

Collections

arXiv