Boundary Control Problem for Heat Convection Equations with Slip Boundary Condition
We analyze an optimal boundary control problem for heat convection equations in a three-dimensional domain, with mixed boundary conditions. We prove the existence of optimal solutions, by considering boundary controls for the velocity vector and the temperature. The analyzed optimal control problem...
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| Veröffentlicht in: | Mathematical problems in engineering 2018-01, Vol.2018 (2018), p.1-14 |
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| container_title | Mathematical problems in engineering |
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| creator | Mallea-Zepeda, Exequiel Valero, Elvis Lenes, Eber |
| description | We analyze an optimal boundary control problem for heat convection equations in a three-dimensional domain, with mixed boundary conditions. We prove the existence of optimal solutions, by considering boundary controls for the velocity vector and the temperature. The analyzed optimal control problem includes the minimization of a Lebesgue norm between the velocity and some desired field, as well as the temperature and some desired temperature. By using the Lagrange multipliers theorem we derive an optimality system. We also give a second-order sufficient condition. |
| doi_str_mv | 10.1155/2018/7959761 |
| format | Article |
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We prove the existence of optimal solutions, by considering boundary controls for the velocity vector and the temperature. The analyzed optimal control problem includes the minimization of a Lebesgue norm between the velocity and some desired field, as well as the temperature and some desired temperature. By using the Lagrange multipliers theorem we derive an optimality system. 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| ispartof | Mathematical problems in engineering, 2018-01, Vol.2018 (2018), p.1-14 |
| issn | 1024-123X 1563-5147 |
| language | eng |
| recordid | cdi_proquest_journals_2000987935 |
| source | Wiley-Blackwell Open Access Titles; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection |
| subjects | Applied mathematics Boundary conditions Boundary control Heat transfer Lagrange multiplier Mathematical analysis Mathematical problems Mathematical programming Numerical analysis Optimal control Optimization |
| title | Boundary Control Problem for Heat Convection Equations with Slip Boundary Condition |
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