Exact Controllability of Galerkin's Approximations for the Oldroyd Fluid System

Exact Controllability of Galerkin's Approximations for the Oldroyd Fluid System

In this paper we investigate the model of Oldroyd Fluid in a bounded smooth region of Rn (n = 2, 3) with control supported in a small subset of this domain. Under suitable assumptions on the Galerkin basis, we introduce Galerkin's approximations for the Oldroyd fluid system. Using the Hilbert U...

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Veröffentlicht in:International journal of modeling and optimization 2014-04, Vol.4 (2), p.126-132
Hauptverfasser: Marinho, A. O., Lourêdo, A. T., Milla Miranda, M.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Computational fluid dynamics
Controllability
Fluid flow
Fluids
Galerkin methods
Optimization
Uniqueness
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Zusammenfassung:In this paper we investigate the model of Oldroyd Fluid in a bounded smooth region of Rn (n = 2, 3) with control supported in a small subset of this domain. Under suitable assumptions on the Galerkin basis, we introduce Galerkin's approximations for the Oldroyd fluid system. Using the Hilbert Uniqueness Method in combination with the Schauder's fixed point, we prove the exact controllability for this finite-dimensional system.
ISSN:2010-3697
2010-3697
DOI:10.7763/IJMO.2014.V4.359