Published January 1, 2024
| Version v1
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On an optimal control problem of the Leray-α model
- 1. Gazi Univ, Grad Sch Nat & Appl Sci, TR-06560 Ankara, Turkiye
- 2. Gazi Univ, Dept Math, TR-06560 Ankara, Turkiye
- 3. Middle East Tech Univ, Dept Math, TR-06800 Ankara, Turkiye
Description
This study considers semi-discrete optimal control problem of Navier-Stokes equations which are regularized by the Leray-a model. After deriving optimality conditions, a priori error estimates of all fluid variables are investigated under regularity assumptions. Several numerical tests are given to affirm the theoretical findings and expose the effectiveness of the optimal control.
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