<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-24T08:20:52Z</responseDate><request verb="GetRecord" identifier="oai:univendspace.univen.ac.za:11602/803" metadataPrefix="dim">https://univendspace.univen.ac.za/server/oai/request</request><GetRecord><record><header><identifier>oai:univendspace.univen.ac.za:11602/803</identifier><datestamp>2025-07-05T11:04:29Z</datestamp><setSpec>com_11602_1927</setSpec><setSpec>com_11602_1914</setSpec><setSpec>com_11602_1897</setSpec><setSpec>com_11602_737</setSpec><setSpec>col_11602_2138</setSpec><setSpec>col_11602_738</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
   <dim:field mdschema="dc" element="contributor" qualifier="advisor">Moyo, S.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="author">Nyathi, Freeman</dim:field>
   <dim:field mdschema="dc" element="date">2015</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2017-08-10T12:08:47Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2017-08-10T12:08:47Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued">2015-05</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="citation" lang="en_ZA">Nyathi, F. 2015. Existence and Uniqueness of a solution to a flow problem about a Rotating Obstacle at low Reynolds number. . . http://hdl.handle.net/11602/803</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">http://hdl.handle.net/11602/803</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="vancouvercitation" lang="en_ZA">Nyathi F. Existence and Uniqueness of a solution to a flow problem about a Rotating Obstacle at low Reynolds number. []. , 2015 [cited yyyy month dd]. Available from: http://hdl.handle.net/11602/803</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="apacitation" lang="en_ZA">Nyathi, F. (2015). &amp;lt;i&amp;gt;Existence and Uniqueness of a solution to a flow problem about a Rotating Obstacle at low Reynolds number&amp;lt;/i&amp;gt;. (). . Retrieved from http://hdl.handle.net/11602/803</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="chicagocitation" lang="en_ZA">Nyathi, Freeman. &amp;lt;i&amp;gt;&amp;quot;Existence and Uniqueness of a solution to a flow problem about a Rotating Obstacle at low Reynolds number.&amp;quot;&amp;lt;/i&amp;gt; ., , 2015. http://hdl.handle.net/11602/803</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="ris" lang="en_ZA">&#xd;
TY  - Dissertation&#xd;
AU  - Nyathi, Freeman&#xd;
AB  - See the attached abstract below&#xd;
DA  - 2015-05&#xd;
DB  - ResearchSpace&#xd;
DP  - Univen&#xd;
KW  - Existence&#xd;
KW  - Uniqueness&#xd;
KW  - Flow problem&#xd;
KW  - Rotating obstacle&#xd;
KW  - Reynolds number&#xd;
LK  - https://univendspace.univen.ac.za&#xd;
PY  - 2015&#xd;
T1  - Existence and Uniqueness of a solution to a flow problem about a Rotating Obstacle at low Reynolds number&#xd;
TI  - Existence and Uniqueness of a solution to a flow problem about a Rotating Obstacle at low Reynolds number&#xd;
UR  - http://hdl.handle.net/11602/803&#xd;
ER  - &#xd;
</dim:field>
   <dim:field mdschema="dc" element="description">MSc (Mathematics)</dim:field>
   <dim:field mdschema="dc" element="description">Department of Mathematics and Applied Mathematics</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract">The flow is described by the Navicr-Stokes equations in the domain
n C R3. The open-bounded domain is assumed to have a cone property.
The rotation of a 3- dimensional symmetrical impermeable cylindrical rigid body in the fluid is studied. The model is constructed in a manner that the equations describe a system in a frame attached to the obstacle.The system of the governing equations is constructed on the basis of conservation of angular momentum of the rigid body and the conservation of linear momentum of the fluid. When the conservation of angular momentum is taken into account, a dynamic boundary condition is considered. The uniqueness of this unknown velocity vector field is confirmed by using the so called energy method. In this study we chose the incompressible viscous Navier-Stokes flow and thus the fluid density does not change through out the flow.</dim:field>
   <dim:field mdschema="dc" element="format" qualifier="extent">1 online resource (vi, 30 leaves)</dim:field>
   <dim:field mdschema="dc" element="language" qualifier="iso" lang="en_US">en</dim:field>
   <dim:field mdschema="dc" element="rights">University of Venda</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Existence</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Uniqueness</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Flow problem</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Rotating obstacle</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Reynolds number</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_ZA">UCTD</dim:field>
   <dim:field mdschema="dc" element="subject" qualifier="ddc">532.0595</dim:field>
   <dim:field mdschema="dc" element="subject" qualifier="lcsh">Vortex motion</dim:field>
   <dim:field mdschema="dc" element="subject" qualifier="lcsh">Rotational motion</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Existence and Uniqueness of a solution to a flow problem about a Rotating Obstacle at low Reynolds number</dim:field>
   <dim:field mdschema="dc" element="type" lang="en_US">Dissertation</dim:field>
   <dim:field mdschema="others" element="access-status">open.access</dim:field>
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