Accession Number : ADA130503
Title : A Local Existence and Uniqueness Theorem for a K-BKZ-Fluid.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV-MADISON 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 well-posedness 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