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Optimal Control of the Instationary Three Dimensional Navier-Stokes-Voigt Equations |
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| Authors: | Cung The Anh Tran Minh Nguyet |
| Institution: | 1. Department of Mathematics, Hanoi National University of Education, Cau Giay, Hanoi, Vietnamanhctmath@hnue.edu.vn;3. Department of Mathematics, Thang Long University, Nghiem Xuan Yem, Hoang Mai, Vietnam |
| Abstract: | We study an optimal control problem with quadratic objective functional for the three dimensional Navier-Stokes-Voigt equations in bounded domains. We show the existence of optimal solutions, the necessary optimality conditions and the sufficient optimality conditions. The second-order optimality conditions obtained in the article seem to be optimal. |
| Keywords: | Existence Navier-Stokes-Voigt equations necessary optimality conditions optimal control sufficient optimality conditions |