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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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
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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Summary: | 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. |
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ISSN: | 1687-9643 1687-9651 |