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Article Dans Une Revue Applied Mathematics and Optimization Année : 2023

Stabilization Results of a Piezoelectric Beams with Partial Viscous Dampings and Under Lorenz Gauge Condition

Résumé

In this paper, we investigate the stabilization of a one-dimensional piezoelectric (Stretching system) with partial viscous dampings. First, by using Lorenz gauge con- ditions, we reformulate our system to achieve the existence and uniqueness of the solution. Next, by using General criteria of Arendt–Batty, we prove the strong stabil- ity in different cases. Finally, we prove that it is sufficient to control the stretching of the center-line of the beam in x-direction to achieve the exponential stability. Numerical results are also presented to validate our theoretical result.
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Dates et versions

hal-04346709 , version 1 (15-12-2023)

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Mohammad Akil, Abdelaziz Soufyane, Youssef Belhamadia. Stabilization Results of a Piezoelectric Beams with Partial Viscous Dampings and Under Lorenz Gauge Condition. Applied Mathematics and Optimization, 2023, 87 (2), ⟨10.1007/s00245-022-09935-3⟩. ⟨hal-04346709⟩
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