Stability of Optimal Controls for the Stationary Boussinesq Equations

Gennady Alekseev and Dmitry Tereshko

International Journal of Differential Equations, 2011, vol. 2011, 1-28

Abstract:

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:535736

DOI: 10.1155/2011/535736

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