
Accession Number : ADA130503
Title : A Local Existence and Uniqueness Theorem for a KBKZFluid.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Renardy,Michael
PDF Url : ADA130503
Report Date : Jun 1983
Pagination or Media Count : 19
Abstract : The existence theory for models of viscoelastic fluids has so far not been very well developed, in particular in three dimensional situations. Here, the author proves an existence theorem for a particular class of models, suggested by Kaye and Bernstein, Kearsley and Zapas. This theory is based on a postulated analogy with hyperelasticity. It is assumed that the fluid occupies all of space. Abstracts methods developed originally for quasilinear hyperbolic systems can be used to prove the wellposedness of the initial value problem.
Descriptors : *Boundary value problems, Theorems, Viscoelasticity, Fluids, Nonlinear differential equations, Cauchy problem
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE