Title page for ETD etd-3340123039731191


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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