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Stability of a boundary permeation model for Navier-Stokes fluids
Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2002.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2013
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| _version_ | 1867613667248308224 |
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| access_status_str | Open Access |
| author2 | Prof N Sauer |
| author_browse | Prof N Sauer |
| author_facet | Prof N Sauer |
| collection | Thesis |
| dc_rights_str_mv | © 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. |
| description | Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2002. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/31334 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:39:47.098Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2013 |
| publishDateRange | 2013 |
| publishDateSort | 2013 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/31334 Stability of a boundary permeation model for Navier-Stokes fluids Prof N Sauer upetd@up.ac.za Hlomuka, Vuka Joseph UCTD Computational fluid dynamics Navier-stokes equations Stability Dissertation (MSc (Applied Mathematics))--University of Pretoria, 2002. 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. Mathematics and Applied Mathematics MSc (Applied Mathematics) restricted 2013-09-09T12:11:48Z 2005-10-11 2013-09-09T12:11:48Z 2002-02-12 2002-10-11 2005-10-07 Dissertation 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/ > H710/ag http://hdl.handle.net/2263/31334 http://upetd.up.ac.za/thesis/available/etd-10072005-150808/ en © 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. application/pdf University of Pretoria |
| spellingShingle | UCTD Computational fluid dynamics Navier-stokes equations Stability Stability of a boundary permeation model for Navier-Stokes fluids |
| title | Stability of a boundary permeation model for Navier-Stokes fluids |
| title_full | Stability of a boundary permeation model for Navier-Stokes fluids |
| title_fullStr | Stability of a boundary permeation model for Navier-Stokes fluids |
| title_full_unstemmed | Stability of a boundary permeation model for Navier-Stokes fluids |
| title_short | Stability of a boundary permeation model for Navier-Stokes fluids |
| title_sort | stability of a boundary permeation model for navier stokes fluids |
| topic | UCTD Computational fluid dynamics Navier-stokes equations Stability |
| url | http://hdl.handle.net/2263/31334 http://upetd.up.ac.za/thesis/available/etd-10072005-150808/ |