Stability of Optimal Controls for the Stationary Boussinesq Equations
The stationary Boussinesq equations describing the heat transfer in the viscous heat-conducting fluid under inhomogeneous Dirichlet boundary conditions for velocity and mixed boundary conditions for temperature are considered. The optimal control problems for these equations with tracking-type funct...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/535736 |
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| _version_ | 1832552461441695744 |
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| author | Gennady Alekseev Dmitry Tereshko |
| author_facet | Gennady Alekseev Dmitry Tereshko |
| author_sort | Gennady Alekseev |
| collection | DOAJ |
| description | The stationary Boussinesq equations describing the heat transfer in the viscous heat-conducting fluid under inhomogeneous Dirichlet boundary conditions for velocity and mixed boundary
conditions for temperature are considered. The optimal control problems for these equations
with tracking-type functionals are formulated. A local stability of the concrete control problem
solutions with respect to some disturbances of both cost functionals and state equation is proved. |
| format | Article |
| id | doaj-art-ceaaa6227ed44d659783acb523a57cbb |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-ceaaa6227ed44d659783acb523a57cbb2025-02-03T05:58:37ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/535736535736Stability of Optimal Controls for the Stationary Boussinesq EquationsGennady Alekseev0Dmitry Tereshko1Computational Fluid Dynamics Laboratory, Institute of Applied Mathematics FEB RAS, 7 Radio Street, Vladivostok 690041, RussiaComputational Fluid Dynamics Laboratory, Institute of Applied Mathematics FEB RAS, 7 Radio Street, Vladivostok 690041, RussiaThe stationary Boussinesq equations describing the heat transfer in the viscous heat-conducting fluid under inhomogeneous Dirichlet boundary conditions for velocity and mixed boundary conditions for temperature are considered. The optimal control problems for these equations with tracking-type functionals are formulated. A local stability of the concrete control problem solutions with respect to some disturbances of both cost functionals and state equation is proved.http://dx.doi.org/10.1155/2011/535736 |
| spellingShingle | Gennady Alekseev Dmitry Tereshko Stability of Optimal Controls for the Stationary Boussinesq Equations International Journal of Differential Equations |
| title | Stability of Optimal Controls for the Stationary Boussinesq Equations |
| title_full | Stability of Optimal Controls for the Stationary Boussinesq Equations |
| title_fullStr | Stability of Optimal Controls for the Stationary Boussinesq Equations |
| title_full_unstemmed | Stability of Optimal Controls for the Stationary Boussinesq Equations |
| title_short | Stability of Optimal Controls for the Stationary Boussinesq Equations |
| title_sort | stability of optimal controls for the stationary boussinesq equations |
| url | http://dx.doi.org/10.1155/2011/535736 |
| work_keys_str_mv | AT gennadyalekseev stabilityofoptimalcontrolsforthestationaryboussinesqequations AT dmitrytereshko stabilityofoptimalcontrolsforthestationaryboussinesqequations |