Approximation and control of a thermoviscoelastic system

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dc.contributor.authorLiu, Zhuangyien
dc.contributor.committeechairBurns, John A.en
dc.contributor.committeememberHerdman, Terry L.en
dc.contributor.committeememberCebuhar, W.A.en
dc.contributor.committeememberCliff, Eugene M.en
dc.contributor.committeememberHannsgen, Kenneth B.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2015-07-09T20:43:22Zen
dc.date.available2015-07-09T20:43:22Zen
dc.date.issued1989en
dc.description.abstractIn this paper consider the problem of controlling a thermoviscoelastic system. We present a semigroup setting for this system, and prove the well-posedness by applying a general theorem which is given in this paper. We also study the stability of the system. We give a finite element/averaging scheme to approximate the linear quadratic regulator problem governed by the system. We prove that yields faster convergence. We give a proof of convergence of the simulation problem for singular kernels and of the control problem for L2 kernels. We carry on the numerical computation to investigate the effect of heat transfer on damping and the closed-loop system.en
dc.description.degreePh. D.en
dc.format.extentiii, 85 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/54233en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 20623680en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1989.L58en
dc.subject.lcshViscoelastic materials -- Researchen
dc.titleApproximation and control of a thermoviscoelastic systemen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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