Insensitizing controls with two vanishing components for the three-dimensional Boussinesq system. (English) Zbl 1315.35158
The authors study the Boussinesq system (the Navier-Stokes equations coupled with the heat equation) and the so-called insensitizing control problem for that system. For the existence of solutions they use the approach proposed by Fursikov and Imanuvilov for the Navier-Stokes system. The computations rely on suitable Carleman-type estimates for the adjoint system.
Reviewer: Piotr Biler (Wroclaw)
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 35Q93 | PDEs in connection with control and optimization |
| 93C20 | Control/observation systems governed by partial differential equations |
| 93B05 | Controllability |
Keywords:
Navier-Stokes system; Boussinesq system; null controllability; Carleman inequalities; insensitizing controlsReferences:
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