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:

This article has been cited by the following article(s):

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)
DOI: 10.1007/s00245-020-09665-4
See this article

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)
DOI: 10.1016/j.nonrwa.2022.103666
See this article

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)
DOI: 10.3934/dcdsb.2022165
See this article

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)
DOI: 10.3934/era.2022173
See this article

Exponential stability of a coupled wave system with thermal effects

Li Zhang, Wenjun Liu, Yanning An and Xinxin Cao
Ricerche di Matematica (2022)
DOI: 10.1007/s11587-022-00714-4
See this article

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)
DOI: 10.1007/s00033-023-01972-4
See this article

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)
DOI: 10.3934/cpaa.2021129
See this article

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)
DOI: 10.1017/S0013091523000111
See this article

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)
DOI: 10.1007/s00033-021-01593-9
See this article

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)
DOI: 10.1007/s00245-022-09935-3
See this article

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)
DOI: 10.1007/s00033-022-01867-w
See this article

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)
DOI: 10.1007/s42967-023-00252-2
See this article

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)
DOI: 10.1007/s00033-020-01457-8
See this article

Exponential Decay Rate of port-Hamiltonian Systems with one side Boundary Damping

Luis A. Mora and Kirsten Morris
IFAC-PapersOnLine 55 (30) 400 (2022)
DOI: 10.1016/j.ifacol.2022.11.086
See this article

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)
DOI: 10.1007/s00033-022-01828-3
See this article

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)
DOI: 10.1137/22M1486790
See this article

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)
DOI: 10.1016/j.jmaa.2021.125845
See this article

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)
DOI: 10.3934/dcdsb.2022216
See this article

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)
DOI: 10.3934/eect.2021015
See this article

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)
DOI: 10.3934/dcdsb.2021283
See this article

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)
DOI: 10.1007/s00033-022-01790-0
See this article

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)
DOI: 10.1007/s10444-023-10027-1
See this article

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)
DOI: 10.3934/dcdsb.2021168
See this article

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 (2022)
DOI: 10.1007/s11565-022-00443-4
See this article

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)
DOI: 10.1007/s00033-019-1106-2
See this article

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)
DOI: 10.1051/cocv/2019004
See this article

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)
DOI: 10.3934/mcrf.2021056
See this article