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Exact controllability of a 3D piezoelectric body. (English. Abridged French version) Zbl 1175.35147

Summary: We study the exact controllability of a three-dimensional body made of a material whose constitutive law introduces an elasticity-electricity coupling. We show that, without any geometrical assumption, two controls (the elastic and the electric controls) acting on the whole boundary drive the system to rest in finite time.

MSC:

35Q74 PDEs in connection with mechanics of deformable solids
93B05 Controllability
74M05 Control, switches and devices (“smart materials”) in solid mechanics
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References:

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