Type of Document	Dissertation
Author	Mulzet, Alfred Kenric
Author's Email Address	mulzet@calvin.math.vt.edu
URN	etd-3340123039731191
Title	Exponential Stability for a Diffusion equation in Polymer Kinetic Theory
Degree	PhD
Department	Mathematics
Advisory Committee	Advisor Name Title Kim, Jong Uhn Prather, Carl L. Rogers, Robert C. Rossi, John F. Renardy, Michael J. Committee Chair
Keywords	FENE Semigroup Theory Polymer Rheology Nonlinear Viscoelasticity
Date of Defense	1997-04-22
Availability	unrestricted
Abstract In this paper we present an exponential stability result for a diffusion equation arising from dumbbell models for polymer flow. Using the methods of semigroup theory, we show that the semigroup U(t) associated with the diffusion equation is well defined and that all solutions converge exponentially to an equilibrium solution. Both finitely and infinitely extensible dumbbell models are considered. The main tool in establishing stability is the proof of compactness of the semigroup.
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