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Some Global Stability Results for Shear Flows of Viscoelastic Fluids
Authors:Michael Renardy
Institution:(1) Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA
Abstract:We consider plane shear flows of viscoelastic fluids. For a number of constitutive models, we prove stability of the rest state for perturbations of arbitrary size. We also consider stability of plane Poiseuille flow in a few special cases. This research was supported by the National Science Foundation under Grant DMS-0405810.
Keywords:Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000)    Primary 76A10  secondary 35Q72
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