✦ LIBER ✦

Piecewise optimal distributed Controls for 2D Boussinesq equations

✍ Scribed by Hyung-Chun Lee; Byeong Chun Shin

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 201 KB
Volume: 23
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(200002)23:3<227::aid-mma112>3.0.co;2-5

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✦ Synopsis

In this article, we study the dynamics of a piecewise (in time) distributed optimal control problem for the Boussinesq equations which model velocity tracking over time coupled to thermal dynamics. We also study the dynamics of semidiscrete approximation of this problem. We prove that the rates of velocity tracking coupled to thermal dynamics are exponential and that the di!erence between the solution of the semidiscrete piecewise optimal control problem and the desired states in ¸ and H norms decay to zero exponentially as nPR.