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dc.contributor.authorRubio, Dianaen_US
dc.date.accessioned2014-03-14T20:21:25Z
dc.date.available2014-03-14T20:21:25Z
dc.date.issued1997-04-21en_US
dc.identifier.otheretd-1938102939721181en_US
dc.identifier.urihttp://hdl.handle.net/10919/30330
dc.description.abstractWe consider the problem of controlling a thermal convection flow by feedback. The system is governed by the Boussinesq approximation of the coupled set of Navier-Stokes and heat equations. The control is applied through Dirichlet boundary conditions. We concentrate on a two-dimensional mode and use a semidiscrete Galerkin scheme for numerical computations. We construct both a linear control and a non-linear quadratic control and apply them to the full non-linear model. First, we test these controllers on a one-mode approximation. The convergence of the numerical scheme is analyzed. We also consider LQR control for a two-dimensional heat equation.en_US
dc.publisherVirginia Techen_US
dc.relation.haspartetd.pdfen_US
dc.relation.haspartrubioetd.pdfen_US
dc.rightsI hereby grant to Virginia Tech or its agents the right to archive and to make available my thesis or dissertation in whole or in part in the University Libraries in all forms of media, now or hereafter known. I retain all proprietary rights, such as patent rights. I also retain the right to use in future works (such as articles or books) all or part of this thesis or dissertation.en_US
dc.subjectsemigroupsen_US
dc.subjectdynamical systemsen_US
dc.subjectboundary controlen_US
dc.subjectboussinesq approximationen_US
dc.titleDistributed Parameter Control of Thermal Fluidsen_US
dc.typeDissertationen_US
dc.contributor.departmentMathematicsen_US
dc.description.degreePh. D.en_US
thesis.degree.namePh. D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineMathematicsen_US
dc.contributor.committeechairBurns, John A.en_US
dc.contributor.committeememberHerdman, Terry L.en_US
dc.contributor.committeememberBorggaard, Jeffrey T.en_US
dc.contributor.committeememberLin, Taoen_US
dc.contributor.committeememberCliff, Eugene M.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-1938102939721181/en_US
dc.date.sdate1998-07-21en_US
dc.date.rdate1997-04-21
dc.date.adate1997-04-21en_US


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