On an optimal control problem of the Leray-alpha model

2023-07-01
Hacat, Gülnur
Çıbık, Aytekin Bayram
Yılmaz, Fikriye Nuray
Kaya Merdan, Songül
This study considers semi-discrete optimal control problem of Navier–Stokes equations which are regularized by the Leray- 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.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Citation Formats
G. Hacat, A. B. Çıbık, F. N. Yılmaz, and S. Kaya Merdan, “On an optimal control problem of the Leray-alpha model,” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol. 115419, pp. 1–20, 2023, Accessed: 00, 2023. [Online]. Available: https://hdl.handle.net/11511/104568.