Existence of Optimal Control for a Nonlinear-Viscous Fluid Model
We consider the optimal control problem for a mathematical model describing steady flows of a nonlinear-viscous incompressible fluid in a bounded three-dimensional (or a two-dimensional) domain with impermeable solid walls. The control parameter is the surface force at a given part of the flow domai...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2016/9428128 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555816047083520 |
|---|---|
| author | Evgenii S. Baranovskii Mikhail A. Artemov |
| author_facet | Evgenii S. Baranovskii Mikhail A. Artemov |
| author_sort | Evgenii S. Baranovskii |
| collection | DOAJ |
| description | We consider the optimal control problem for a mathematical model describing steady flows of a nonlinear-viscous incompressible fluid in a bounded three-dimensional (or a two-dimensional) domain with impermeable solid walls. The control parameter is the surface force at a given part of the flow domain boundary. For a given bounded set of admissible controls, we construct generalized (weak) solutions that minimize a given cost functional. |
| format | Article |
| id | doaj-art-e1e11925d6774e8686b5c5cf0e8b6cbb |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-e1e11925d6774e8686b5c5cf0e8b6cbb2025-02-03T05:47:16ZengWileyInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/94281289428128Existence of Optimal Control for a Nonlinear-Viscous Fluid ModelEvgenii S. Baranovskii0Mikhail A. Artemov1Department of Applied Mathematics, Informatics and Mechanics, Voronezh State University, Universitetskaya Ploshchad 1, Voronezh 394006, RussiaDepartment of Applied Mathematics, Informatics and Mechanics, Voronezh State University, Universitetskaya Ploshchad 1, Voronezh 394006, RussiaWe consider the optimal control problem for a mathematical model describing steady flows of a nonlinear-viscous incompressible fluid in a bounded three-dimensional (or a two-dimensional) domain with impermeable solid walls. The control parameter is the surface force at a given part of the flow domain boundary. For a given bounded set of admissible controls, we construct generalized (weak) solutions that minimize a given cost functional.http://dx.doi.org/10.1155/2016/9428128 |
| spellingShingle | Evgenii S. Baranovskii Mikhail A. Artemov Existence of Optimal Control for a Nonlinear-Viscous Fluid Model International Journal of Differential Equations |
| title | Existence of Optimal Control for a Nonlinear-Viscous Fluid Model |
| title_full | Existence of Optimal Control for a Nonlinear-Viscous Fluid Model |
| title_fullStr | Existence of Optimal Control for a Nonlinear-Viscous Fluid Model |
| title_full_unstemmed | Existence of Optimal Control for a Nonlinear-Viscous Fluid Model |
| title_short | Existence of Optimal Control for a Nonlinear-Viscous Fluid Model |
| title_sort | existence of optimal control for a nonlinear viscous fluid model |
| url | http://dx.doi.org/10.1155/2016/9428128 |
| work_keys_str_mv | AT evgeniisbaranovskii existenceofoptimalcontrolforanonlinearviscousfluidmodel AT mikhailaartemov existenceofoptimalcontrolforanonlinearviscousfluidmodel |