Stability of a boundary permeation model for Navier-Stokes fluids

dc.contributor.advisorProf N Saueren
dc.contributor.emailupetd@up.ac.zaen
dc.contributor.postgraduateHlomuka, Vuka Joseph
dc.date.accessioned2013-09-09T12:11:48Z
dc.date.available2005-10-11en
dc.date.available2013-09-09T12:11:48Z
dc.date.created2002-02-12en
dc.date.issued2002-10-11en
dc.date.submitted2005-10-07en
dc.descriptionDissertation (MSc (Applied Mathematics))--University of Pretoria, 2002.en
dc.description.abstractThe stability of a boundary permeation model for incompressible second grade fluids was formulated and solved for bounded regions, by Maritz and Sauer. Under an additional boundary condition they proved exponential decay to the rest state provided the initial energy of the system is not too large. In this exposition, we apply the same model to the boundary permeation problem, but for incompressible first grade fluids, also known as Navier-Stokes fluids. In our situation, the additional boundary condition is not necessary, but in contrast to the second grade fluid, the decay of perturbed solutions is first order polynomial.en
dc.description.availabilityrestricteden
dc.description.degreeMSc (Applied Mathematics)
dc.description.departmentMathematics and Applied Mathematicsen
dc.identifier.citationHlomuka, VJ 2002, Stability of a boundary permeation model for Navier-Stokes fluids, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://upetd.up.ac.za/thesis/available/etd-10072005-150808/ >en
dc.identifier.otherH710/agen
dc.identifier.upetdurlhttp://upetd.up.ac.za/thesis/available/etd-10072005-150808/en
dc.identifier.urihttp://hdl.handle.net/2263/31334
dc.language.isoenen
dc.publisherUniversity of Pretoria
dc.rights© 2002, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.en
dc.subjectUCTDen
dc.subjectComputational fluid dynamicsen
dc.subjectNavier-stokes equationsen
dc.subjectStability
dc.titleStability of a boundary permeation model for Navier-Stokes fluidsen
dc.typeDissertationen

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