A Local Existence and Uniqueness Theorem for a K-BKZ-Fluid.

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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.

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