Exponential Stability for a Diffusion Equation in Polymer Kinetic Theory

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dc.contributor.authorMulzet, Alfred Kenricen
dc.contributor.committeechairRenardy, Michael J.en
dc.contributor.committeememberRogers, Robert C.en
dc.contributor.committeememberRossi, John F.en
dc.contributor.committeememberPrather, Carl L.en
dc.contributor.committeememberKim, Jong Uhnen
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:21:49Zen
dc.date.adate1997-04-22en
dc.date.available2014-03-14T20:21:49Zen
dc.date.issued1997-04-22en
dc.date.rdate1998-04-22en
dc.date.sdate1998-07-25en
dc.description.abstractIn 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.en
dc.description.degreePh. D.en
dc.identifier.otheretd-3340123039731191en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-3340123039731191/en
dc.identifier.urihttp://hdl.handle.net/10919/30473en
dc.publisherVirginia Techen
dc.relation.haspartmulzet.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectFENEen
dc.subjectSemigroup Theoryen
dc.subjectPolymer Rheologyen
dc.subjectNonlinear Viscoelasticityen
dc.titleExponential Stability for a Diffusion Equation in Polymer Kinetic Theoryen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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