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| Content Provider | Springer Nature Link |
|---|---|
| Author | Alekseev, G. V. Tereshko, D. A. |
| Copyright Year | 2011 |
| Abstract | Two-parameter extremum problems of boundary control are formulated for the stationary thermal convection equations with Dirichlet boundary conditions for velocity and with mixed boundary conditions for temperature. The cost functional is defined as the root mean square integral deviation of the desired velocity (vorticity, or pressure) field from one given in some part of the flow region. Controls are the boundary functions involved in the Dirichlet condition for velocity on the boundary of the flow region and in the Neumann condition for temperature on part of the boundary. The uniqueness of the extremum problems is analyzed, and the stability of solutions with respect to certain perturbations in the cost functional and one of the functional parameters of the original model is estimated. Numerical results for a control problem associated with the minimization of the vorticity norm aimed at drag reduction are discussed. |
| Starting Page | 1539 |
| Ending Page | 1557 |
| Page Count | 19 |
| File Format | |
| ISSN | 09655425 |
| Journal | Computational Mathematics and Mathematical Physics |
| Volume Number | 51 |
| Issue Number | 9 |
| e-ISSN | 15556662 |
| Language | English |
| Publisher | SP MAIK Nauka/Interperiodica |
| Publisher Date | 2011-09-18 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | thermal convection multiparameter extremum problems uniqueness stability coefficient of thermal expansion stability estimate Computational Mathematics and Numerical Analysis |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computational Mathematics |
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