International Journal of Differential Equations

Stability of Optimal Controls for the Stationary Boussinesq Equations

Gennady Alekseev and Dmitry Tereshko

Full-text: Open access

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.

Article information

Source
Int. J. Differ. Equ., Volume 2011 (2011), Article ID 535736, 28 pages.

Dates
Received: 26 May 2011
Accepted: 3 August 2011
First available in Project Euclid: 25 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.ijde/1485313250

Digital Object Identifier
doi:10.1155/2011/535736

Mathematical Reviews number (MathSciNet)
MR2847599

Zentralblatt MATH identifier
1236.49064

Citation

Alekseev, Gennady; Tereshko, Dmitry. Stability of Optimal Controls for the Stationary Boussinesq Equations. Int. J. Differ. Equ. 2011 (2011), Article ID 535736, 28 pages. doi:10.1155/2011/535736. https://projecteuclid.org/euclid.ijde/1485313250


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