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Local internal controllability of the Boussinesq system

✍ Scribed by Lijuan Wang; Gengsheng Wang

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
160 KB
Volume
53
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we shall show that the H 3 Γ— H 3 steady-state solutions to Boussinesq equations in n-dimensional bounded domain , n =2; 3, are locally controllable by internal controllers with the support in subsets ! βŠ‚ .

πŸ“œ SIMILAR VOLUMES

Stabilization of the Boussinesq equation
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✍ Gengsheng Wang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 204 KB

In this paper we show that the steady-state solutions to Boussinesq equations in threedimensional domain , are stabilizable by internal controllers with the supports in subsets !; !1 ∈ under some conditions on ! and !1.

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This paper is concerned with the existence and the maximum principle for the optimal control problem governed by the Boussinesq equation. The case of internal controllers supported on ! βŠ‚ is examined.