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