THEORY AND NUMERICS OF A QUASILINEAR PARABOLIC EQUATION IN RHEOLOGY
Mathematics Research Center
University of Wisconsin
Madison, Wisconsin
DOI: 10.1201/9781003420026-23
1. INTRODUCTION
The following problem occurs in polymer processing: A thin filament of a viscoelastic liquid is stretched by pulling its ends as indicated in the diagram:
We investigate a model equation for the temporal evolution of the displacement, which is derived from the “rubberlike liquid” constitutive assumption for the stress-strain law [5] and a one-dimensional approximation based on the thinness of the filament. This equation is as follows (see [ ...
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