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- Title
DYNAMICS AND APPROXIMATIONS FOR 2D GENERALIZED NAVIER-STOKES EQUATION WITH PIECEWISE DISTRIBUTED CONTROLS.
- Authors
AKMEL, DE G.; BAHI, L. C.
- Abstract
We study the dynamics of a piecewise (in time) distributed optimal control problem for Generalized Navier-Stokes equation. The long-time behavior of solutions for an optimal distributed control problem associated with the tracking of the velocity of the Generalized Navier Stockes equations is studied. The existence of a solution of optimal control problem is proved also optimality system is derived. The long-time decay properties for the optimal solutions is established. We also study the dynamics of semidiscrete and fully discrete approximations of this problem. Some computational results are presented, which reinforces the theoretical results derived.
- Subjects
APPROXIMATION theory; GENERALIZATION; NAVIER-Stokes equations; CONTROL theory (Engineering); EXISTENCE theorems; DISTRIBUTION (Probability theory)
- Publication
Journal of Concrete & Applicable Mathematics, 2014, Vol 12, Issue 1/2, p302
- ISSN
1548-5390
- Publication type
Article