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General Information
    • ISSN: 2010-3697
    • Frequency: Bimonthly
    • DOI: 10.7763/IJMO
    • Editor-in-Chief: Prof. Adrian Olaru
    • Executive Editor: Ms.Yoyo Y. Zhou
    • Abstracting/ Indexing: Engineering & Technology Digital Library, ProQuest, Crossref, Electronic Journals Library, Google Scholar, EI (INSPEC, IET).
    • E-mail ijmo@iacsitp.com
Editor-in-chief
Prof. Adrian Olaru
University Politehnica of Bucharest, Romania
I'm happy to take on the position of editor in chief of IJMO. It's a journal that shows promise of becoming a recognized journal in the area of modelling and optimization. I'll work together with the editors to help it progress.
IJMO 2014Vol.4(2): 126-132 ISSN: 2010-3697
DOI: 10.7763/IJMO.2014.V4.359

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

A. O. Marinho, A. T. Lourêdo, and M. Milla Miranda
Abstract—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.

Index Terms—Exact controllability, oldroyd fluid, Galerkin’S approximations.

Aldo Trajano Lourêdo is with the mathematics Department at UEPB. Brazil (e-mail: aldotl@cct.uepb.edu.br).

[PDF]

Cite: A. O. Marinho, A. T. Lourêdo, and M. Milla Miranda, "Exact Controllability of Galerkin's Approximations for the Oldroyd Fluid System," International Journal of Modeling and Optimization vol. 4, no. 2, pp. 126-132, 2014.

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