Optimization and Numerical Approximation for Micropolar Fluids

In the theory of micropolar fluids, a special case appears when the microrotation is equal to the vorticity of the fluid. The aim of this article is to determine an external field which realises this case. An existence result for the proposed control problem is obtained and the necessary conditions...

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Bibliographic Details
Published inNumerical functional analysis and optimization Vol. 24; no. 3-4; pp. 223 - 241
Main Author Stavre, Ruxandra
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 08.01.2003
Subjects
A priori estimates
AMS Subject Classificaiton 2000: 49K20
Approximation
Discretization
Micropolar fluids
Optimality conditions
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ISSN0163-0563
1532-2467
DOI10.1081/NFA-120022919

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Summary:In the theory of micropolar fluids, a special case appears when the microrotation is equal to the vorticity of the fluid. The aim of this article is to determine an external field which realises this case. An existence result for the proposed control problem is obtained and the necessary conditions of optimality are derived. For solving the optimality system, an iterative algorithm is proposed and its convergence is obtained. The discretization of the approximation is studied; stability and convergence theorems are proved.
ISSN:0163-0563
1532-2467
DOI:10.1081/NFA-120022919