Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Well-posedness and general energy decay for a nonlinear piezoelectric beams system with magnetic and thermal effects in the presence of distributed delay

Hassan Messaoudi, Madani Douib and Salah Zitouni
Journal of Thermal Stresses 47 (5) 652 (2024)
https://doi.org/10.1080/01495739.2024.2315182

New general decay results for a fully dynamic piezoelectric beam system with fractional delays under memory boundary controls

Jianghao Hao and Jing Yang
Mathematical Methods in the Applied Sciences 47 (1) 229 (2024)
https://doi.org/10.1002/mma.9653

Exponential stability and exact controllability of a system of coupled wave equations by second‐order terms (via Laplacian) with only one non‐smooth local damping

Mohammad Akil and Zayd Hajjej
Mathematical Methods in the Applied Sciences 47 (4) 1883 (2024)
https://doi.org/10.1002/mma.9724

Stability Results for Novel Serially-Connected Magnetizable Piezoelectric and Elastic Smart-System Designs

Mohammad Akil, Serge Nicaise, Ahmet Özkan Özer and Virginie Régnier
Applied Mathematics & Optimization 89 (3) (2024)
https://doi.org/10.1007/s00245-024-10129-2

Numerical exponential decay of thermoelastic waves connected in parallel

A. J. A. Ramos, A. D. S. Campelo, D. S. Almeida Júnior, M. M. Freitas and R. C. Barbosa
Advances in Computational Mathematics 49 (3) (2023)
https://doi.org/10.1007/s10444-023-10027-1

Global well-posedness and exponential decay of fully dynamic and electrostatic or quasi-static piezoelectric beams subject to a neutral delay

Sami Loucif, Rafik Guefaifia, Salah Zitouni and Houssem Eddine Khochemane
Zeitschrift für angewandte Mathematik und Physik 74 (3) (2023)
https://doi.org/10.1007/s00033-023-01972-4

Piezoelectric beams with magnetic effect and localized damping

Mounir Afilal, Abdelaziz Soufyane and Mauro de Lima Santos
Mathematical Control and Related Fields 13 (1) 250 (2023)
https://doi.org/10.3934/mcrf.2021056

Stabilization of nonlinear non-uniform piezoelectric beam with time-varying delay in distributed control input

Yan-Fang Li, Zhong-Jie Han and Gen-Qi Xu
Journal of Differential Equations 377 38 (2023)
https://doi.org/10.1016/j.jde.2023.08.031

Stability and Eigenvalue Asymptotics of Multi-Dimensional Fully Magnetic Effected Piezoelectric System with Friction-Type Infinite Memory

Hai-E Zhang, Gen-Qi Xu and Zhong-Jie Han
SIAM Journal on Applied Mathematics 83 (2) 510 (2023)
https://doi.org/10.1137/22M1486790

Polynomial stability of a piezoelectric beam with magnetic effect and a boundary dissipation of the fractional derivative type

Verónica Poblete, Fernando Toledo and Octavio Vera
Proceedings of the Edinburgh Mathematical Society 1 (2023)
https://doi.org/10.1017/S0013091523000111

Existence and continuity of attractors for a nonlinear piezoelectric beam with Colemam-Gurtin thermal law

Deiziane Wanzeler, Manoel Dos Santos, Anderson Campelo and Sebastião Cordeiro
Discrete and Continuous Dynamical Systems - B 28 (5) 3252 (2023)
https://doi.org/10.3934/dcdsb.2022216

Exponential stability for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights

Aowen Kong, Carlos Nonato, Wenjun Liu, et al.
Discrete and Continuous Dynamical Systems - B 28 (3) 2224 (2023)
https://doi.org/10.3934/dcdsb.2022165

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

Mohammad Akil, Abdelaziz Soufyane and Youssef Belhamadia
Applied Mathematics & Optimization 87 (2) (2023)
https://doi.org/10.1007/s00245-022-09935-3

On the $$L^2 ({\mathbb {R}})$$-Norm Decay Estimates for Two Cauchy Systems of Coupled Wave Equations Under Frictional Dampings

Aissa Guesmia
Communications on Applied Mathematics and Computation (2023)
https://doi.org/10.1007/s42967-023-00252-2

General stability for piezoelectric beams with a nonlinear damping term

Hassan Messaoudi, Salah Zitouni, Houssem Eddine Khochemane and Abdelouaheb Ardjouni
ANNALI DELL'UNIVERSITA' DI FERRARA 69 (2) 443 (2023)
https://doi.org/10.1007/s11565-022-00443-4

Well-posedness and general energy decay of solutions for a nonlinear damping piezoelectric beams system with thermal and magnetic effects

Hassan MESSAOUDİ, Abdelouaheb ARDJOUNİ, Salah ZITOUNI and Khochemane HOUSSEM EDDİNE
Hacettepe Journal of Mathematics and Statistics 52 (6) 1615 (2023)
https://doi.org/10.15672/hujms.1187356

General stability for a system of coupled quasi-linear and linear wave equations and with memory term

Zayd Hajjej and Menglan Liao
AIMS Mathematics 8 (12) 30668 (2023)
https://doi.org/10.3934/math.20231567

Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects

Gongwei Liu, Ahmet Özkan Özer and Mengru Wang
Nonlinear Analysis: Real World Applications 68 103666 (2022)
https://doi.org/10.1016/j.nonrwa.2022.103666

Stability of piezoelectric beam with magnetic effect under (Coleman or Pipkin)–Gurtin thermal law

Mohammad Akil
Zeitschrift für angewandte Mathematik und Physik 73 (6) (2022)
https://doi.org/10.1007/s00033-022-01867-w

Exponential stabilization of piezoelectric beams with magnetic effect and second sound

A. J. A. Ramos, C. A. S. Nonato, A. D. S. Campelo, M. M. Freitas and D. W. G. Silva
Zeitschrift für angewandte Mathematik und Physik 73 (5) (2022)
https://doi.org/10.1007/s00033-022-01828-3

Exponential stability results for the boundary-controlled fully-dynamic piezoelectric beams with various distributed and boundary delays

Baowei Feng and Ahmet Özkan Özer
Journal of Mathematical Analysis and Applications 508 (1) 125845 (2022)
https://doi.org/10.1016/j.jmaa.2021.125845

Dynamics of piezoelectric beams with magnetic effects and delay term

Mirelson M. Freitas, Anderson J. A. Ramos, Manoel J. Dos Santos and Jamille L.L. Almeida
Evolution Equations & Control Theory 11 (2) 583 (2022)
https://doi.org/10.3934/eect.2021015

Exponential stability for a piezoelectric beam with a magnetic effect and past history

Manoel J. Dos Santos, João C. P. Fortes and Marcos L. Cardoso
Discrete and Continuous Dynamical Systems - B 27 (10) 5487 (2022)
https://doi.org/10.3934/dcdsb.2021283

Stability of multi-dimensional nonlinear piezoelectric beam with viscoelastic infinite memory

Hai-E Zhang, Gen-Qi Xu and Zhong-Jie Han
Zeitschrift für angewandte Mathematik und Physik 73 (4) (2022)
https://doi.org/10.1007/s00033-022-01790-0

Equivalence between exponential stabilization and observability inequality for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights

Aowen Kong, Carlos Nonato, Wenjun Liu, Manoel Jeremias dos Santos and Carlos Raposo
Discrete and Continuous Dynamical Systems - B 27 (6) 2959 (2022)
https://doi.org/10.3934/dcdsb.2021168

Long-time dynamical behavior for a piezoelectric system with magnetic effect and nonlinear dampings

Gongwei Liu, Mengru Wang and Pengyan Ding
Electronic Research Archive 30 (9) 3397 (2022)
https://doi.org/10.3934/era.2022173

Stabilization Results for Well-Posed Potential Formulations of a Current-Controlled Piezoelectric Beam and Their Approximations

Ahmet Özkan Özer
Applied Mathematics & Optimization 84 (1) 877 (2021)
https://doi.org/10.1007/s00245-020-09665-4

Exponential stabilization of fully dynamic and electrostatic piezoelectric beams with delayed distributed damping feedback

A. J. A. Ramos, A. Ö. Özer, M. M. Freitas, D. S. Almeida Júnior and J. D. Martins
Zeitschrift für angewandte Mathematik und Physik 72 (1) (2021)
https://doi.org/10.1007/s00033-020-01457-8

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

A. Soufyane, M. Afilal and M. L. Santos
Zeitschrift für angewandte Mathematik und Physik 72 (4) (2021)
https://doi.org/10.1007/s00033-021-01593-9

Attractors and pullback dynamics for non-autonomous piezoelectric system with magnetic and thermal effects

Mirelson M. Freitas, Anderson J. A. Ramos, Manoel J. Dos Santos and Eraldo R. N. Fonseca
Communications on Pure & Applied Analysis 20 (11) 3729 (2021)
https://doi.org/10.3934/cpaa.2021129

Modeling and stabilization of current-controlled piezo-electric beams with dynamic electromagnetic field

Ahmet Özkan Özer and Kirsten A. Morris
ESAIM: Control, Optimisation and Calculus of Variations 26 8 (2020)
https://doi.org/10.1051/cocv/2019004

Equivalence between exponential stabilization and boundary observability for piezoelectric beams with magnetic effect

A. J. A. Ramos, M. M. Freitas, D. S. Almeida, S. S. Jesus and T. R. S. Moura
Zeitschrift für angewandte Mathematik und Physik 70 (2) (2019)
https://doi.org/10.1007/s00033-019-1106-2