Exponential Stability for a Diffusion Equation in Polymer Kinetic Theory

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.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1997

Author dc:creator

• Mulzet, Alfred Kenric

Chair dc:contributor.committeechair

• Renardy, Michael J.

Committee members dc:contributor.committeemember

• Rogers, Robert C.
• Rossi, John F.
• Prather, Carl L.
• Kim, Jong Uhn

• FENE
• Semigroup Theory
• Polymer Rheology
• Nonlinear Viscoelasticity

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-3340123039731191

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/30473