General stability for piezoelectric beams with a nonlinear damping term

DOI10.1007/s11565-022-00443-4zbMath1526.35069OpenAlexW4295279659MaRDI QIDQ6056652

Abdelouaheb Ardjouni, Salah Zitouni, Hassan Messaoudi, Houssem E. Khochemane

Publication date: 30 October 2023

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-022-00443-4

zbMATH Keywords

energy methodLyapunov functionalnonlinear dampinggeneral decaysemigroup approachpiezoelectric beams

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the decay of solutions for porous-elastic systems with history
• Asymptotic stability of abstract dissipative systems with infinite memory
• Semigroups of linear operators and applications to partial differential equations
• Dynamics of piezoelectric beams with magnetic effects and delay term
• General decay of a nonlinear damping porous-elastic system with past history
• A general decay for a weakly nonlinearly damped porous system
• Stability of Timoshenko systems with past history
• Long-time dynamics for a fractional piezoelectric system with magnetic effects and Fourier's law
• Stabilization of a piezoelectric system
• Energy decay in piezoelectric systems
• Exponential stability and numerical treatment for piezoelectric beams with magnetic effect
• A note on analyticity to piezoelectric systems
• Well-posedness and general decay of a nonlinear damping porous-elastic system with infinite memory

This page was built for publication: General stability for piezoelectric beams with a nonlinear damping term