Local feedback regularization of three-dimensional Navier-Stokes equations on bounded domains

dc.creatorBalogh, Andras
dc.date.accessioned2016-11-14T23:09:27Z
dc.date.available2011-02-18T23:42:09Z
dc.date.available2016-11-14T23:09:27Z
dc.date.issued1997-05
dc.degree.departmentMathematicsen_US
dc.description.abstractThe specific problem we consider here is inspired by recent advances in the control of nonlinear distributed parameter systems and its possible applications to hydrodynamics. The main objective is to investigate the extent to which the 3-dimensional Navier-Stokes system can be regularized using a particular, physically motivated, feedback control law. The specific choice of feedback mechanism is motivated by a work of O.A. Ladyzhenskaya [7] in which she introduces a modification of the Navier-Stokes equation on a three dimensional bounded domain and shows that the resulting perturbed system possesses global dynamics and, furthermore, this dynamics is stable. It is in this sense that we understand the system to be regularized.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2346/20417en_US
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.rights.availabilityUnrestricted.
dc.subjectNavier-Stokes equationsen_US
dc.subjectParameter estimationen_US
dc.subjectFluidsen_US
dc.subjectBoundary value problemsen_US
dc.subjectFluid dynamic measurementsen_US
dc.titleLocal feedback regularization of three-dimensional Navier-Stokes equations on bounded domains
dc.typeDissertation

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