Energy decay for a weakly nonlinear damped piezoelectric beams with magnetic effects and a nonlinear delay term

DOI10.1007/S00033-021-01593-9zbMath1471.35033OpenAlexW3198292123MaRDI QIDQ2046483

Mounir Afilal, Abdelaziz Soufyane, Mauro Lima Santos

Publication date: 18 August 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01593-9

zbMATH Keywords

nonlinear dampingenergy decaynonlinear delay termpiezoelectric beams

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Asymptotic stability in control theory (93D20) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (10)

Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects ⋮ Stabilization of nonlinear non-uniform piezoelectric beam with time-varying delay in distributed control input ⋮ Piezoelectric beams with magnetic effect and localized damping ⋮ Global well-posedness and exponential decay of fully dynamic and electrostatic or quasi-static piezoelectric beams subject to a neutral delay ⋮ Existence and robustness results of attractors for partially-damped piezoelectric beams ⋮ Stabilization results of a piezoelectric beams with partial viscous dampings and under Lorenz gauge condition ⋮ New general decay results for a fully dynamic piezoelectric beam system with fractional delays under memory boundary controls ⋮ Stability Results for Novel Serially-Connected Magnetizable Piezoelectric and Elastic Smart-System Designs ⋮ Exponential stability results for the boundary-controlled fully-dynamic piezoelectric beams with various distributed and boundary delays ⋮ Stability of piezoelectric beam with magnetic effect under (Coleman or Pipkin)-Gurtin thermal law

Cites Work

• Global existence and energy decay of solutions to a nonlinear Timoshenko beam system with a delay term
• Instability of coupled systems with delay
• Exponential stabilization of fully dynamic and electrostatic piezoelectric beams with delayed distributed damping feedback
• Modeling and Stabilizability of Voltage-Actuated Piezoelectric Beams with Magnetic Effects
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
• Exponential stability and numerical treatment for piezoelectric beams with magnetic effect

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