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.
