Title page for ETD etd-10072005-150808


Document Type Master's Dissertation
Author Hlomuka, Vuka Joseph
URN etd-10072005-150808
Document Title Stability of a boundary permeation model for Navier-Stokes fluids
Degree MSc (Applied Mathematics)
Department Mathematics and Applied Mathematics
Supervisor
Advisor Name Title
Prof N Sauer Committee Chair
Keywords
  • stability
  • computational fluid dynamics
  • Navier-Stokes equations
Date 2002-02-12
Availability restricted
Abstract
The 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.

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.

Please cite as follows:

Hlomuka, 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/ >

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