Abdelaziz Soufyane

Abdelaziz Soufyane

University of Sharjah

H-index: 21

Asia-United Arab Emirates

Abdelaziz Soufyane Information

University

University of Sharjah

Position

UAE

Citations(all)

1605

Citations(since 2020)

765

Cited By

1150

hIndex(all)

21

hIndex(since 2020)

16

i10Index(all)

30

i10Index(since 2020)

22

Email

University Profile Page

University of Sharjah

Abdelaziz Soufyane Skills & Research Interests

control theory

partial differential equations

numerical approximation

Top articles of Abdelaziz Soufyane

Energy decay analysis for Porous elastic system with microtemperature: Classical vs second spectrum approach

Numerous studies have been conducted to investigate porous systems under different damping effects. Recent research has consistently achieved the expected exponential decay of energy solutions when employing stabilization techniques that involve non-physical assumptions of equal wave velocities. In this study, we examine a one-dimensional thermoelastic porous system within the framework of the second frequency spectrum. Remarkably, we demonstrate that exponential decay can be achieved without relying on the assumption of equal wave speeds. We consider the porous system, and we incorporated thermoelastic damping based on the Green–Naghdi law of heat conduction into our study. To begin with, we use the Faedo–Galerkin approximation method to validate the global well-posedness of the system. By utilizing a Lyapunov functional, we establish exponential stability without relying on the …

Authors

Hamza Zougheib,Toufic El Arwadi

Journal

Results in Applied Mathematics

Published Date

2024/2/1

Exponential stability and numerical computation for a nonlinear shear beam system

In this paper, we examine the stability of a nonlinear shear beam system. We demonstrate the well-posedness of the system using the Faedo-Galerkin method and establish exponential stability through the multiplier method. Our findings improve upon previously obtained stability results for certain nonlinear Timoshenko-type systems, as we do not require the use of two controls to achieve exponential stability. We also provide numerical experiments at the end to support our theoretical results.

Authors

My Driss Aouragh,Abdelaziz Soufyane

Journal

Acta Mechanica

Published Date

2024/1/5

Stability results of a swelling porous-elastic system with two nonlinear variable exponent damping

In this paper, a swelling soil system with two nonlinear dampings of variable exponenttype is considered. The stability analysis of this system is investigated and it is proved that the system is stable under a natural condition on the parameters of the system and the variable exponents. It is noticed that one variable damping is enough to achieve polynomial and exponential decay and the decay is not necessarily improved if the system has two variable dampings.

Authors

Mostafa Zahri Abdelaziz Soufyane,Adel M. Al-Mahdi,Mohammad M. Al-Gharabli,Imad Kissami

Journal

Networks and Heterogeneous Media

Published Date

2024

Stability analysis for a Rao-Nakra sandwich beam equation with time-varying weights and frictional dampings

AIMS Mathematics, 9 (5): 12570–12587. DOI: 10.3934/math. 2024615 Received: 16 January 2024 Revised: 18 March 2024 Accepted: 25 March 2024 Published: 01 April 2024

Authors

Adel M Al-Mahdi,Maher Noor,Mohammed M Al-Gharabli,Baowei Feng,Abdelaziz Soufyane

Journal

AIMS Mathematics

Published Date

2024/1/1

On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates

In this paper, we study the asymptotic behavior of solutions for unconstrained one dimensional suspension bridge model. We dissipate the system with two nonlinear dampings of variable exponents-type. We obtain exponential and polynomial decay results based on the range of the variable exponents by using the multiplier method. Our results built on, developed and generalized some earlier results in the literature.1. Introduction. Numerous suspension bridges exhibited aerodynamic instability and uncontrolled oscillations that resulted in failures, see [28, 30, 1, 27, 9]. These mishaps are caused by various factors, including torsional changes like the one indicated in [9]. For both engineers and mathematicians, the instability of suspension bridges raised some major problems. Many models have been presented in the literature to explain such instability difficulties in suspension bridges, as can be shown in [8, 6, 7 …

Authors

Ahmad Mugbil,Mohammed M Al-Gharabli,Adel M Al-Mahdi,Abdelaziz Soufyane

Journal

Evolution Equations and Control Theory

Published Date

2024/4/8

Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law

In this paper, we examine the stability of a heat-conducting copper rod and a magnetizable piezoelectric beam, with fractional damping affecting the longitudinal displacement of the piezoelectric material's centerline. We establish a polynomial stability result that is dependent on the order of the fractional derivative.

Authors

Ibtissam Issa,Abdelaziz Soufyane,Octavio Vera Villagran

Journal

arXiv preprint arXiv:2404.07997

Published Date

2024/4/4

Optimal memory-type boundary control of the Bresse system

In this paper, we study the stability of a Bresse system with memory-type boundary conditions. For a wider class of kernel functions, we establish an optimal explicit energy decay result. Our stability result improves many earlier results in the literature. Finally, we also give four numerical test s to illustrate our theoretical results using the conservative Lax–Wendroff method scheme.

Authors

Baowei Feng,Salim Messaoudi,Abdelaziz Soufyane,Mostafa Zahri

Journal

Asymptotic Analysis

Published Date

2023/1/1

New general decay results for a multi-dimensional Bresse system with viscoelastic boundary conditions

In this paper we consider a multi-dimensional Bresse with memorytype boundary conditions. By assuming minimal conditions on the resolvent kernel, we establish an optimal explicit and general energy decay result. This result is new and substantially improves earlier results in the literature.

Authors

Baowei Feng,Abdelaziz Soufyane,Mounir Afilal

Journal

Mathematical Control and Related Fields

Published Date

2023/12/1

Exponential and polynomial decay results for a swelling porous elastic system with a single nonlinear variable exponent damping: theory and numerics

We consider a swelling porous elastic system with a single nonlinear variable exponent damping. We establish the existence result using the Faedo–Galerkin approximations method, and then, we prove that the system is stable under a natural condition on the parameters of the system and the variable exponent. We obtain exponential and polynomial decay results by using the multiplier method, and these results generalize the existing results in the literature. In addition, we end our paper with some numerical illustrations.

Authors

AM Al-Mahdi,MM Al-Gharabli,I Kissami,A Soufyane,M Zahri

Journal

Zeitschrift für angewandte Mathematik und Physik

Published Date

2023/4

Stabilization results of a piezoelectric beams with partial viscous dampings and under Lorenz gauge condition

In this paper, we investigate the stabilization of a one-dimensional piezoelectric (Stretching system) with partial viscous dampings. First, by using Lorenz gauge conditions, 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 stability 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.

Authors

Mohammad Akil,Abdelaziz Soufyane,Youssef Belhamadia

Journal

Applied Mathematics & Optimization

Published Date

2023/4

Asymptotic behavior of the porous elastic system with dual phase lag model: Classical versus second spectrum perspectives

This paper aims to analyze the energy decay of the thermoelastic porous system. The dual‐phase lag theory is used to model heat transfer. We consider two perspectives: the classical approach and the second spectrum approach. For the classical approach, the well‐posedness is obtained via the semigroup theory and the system is exponentially stable under equal wave speed conditions. On the opposite, we show a polynomial decay. On the other hand, the well‐posedness of the truncated system is obtained via the Faedo Galerkin method, and the system is exponentially stable without any assumptions on the physical parameters.

Authors

Hamza Zougheib,Toufic El Arwadi,Abdelaziz Soufyane

Journal

Studies in Applied Mathematics

Published Date

2023/10

Stability of a linear thermoelastic Bresse system with second sound under new conditions on the coefficients

In this paper, we discuss the stability of a linear one‐dimensional thermoelastic Bresse system, where the coupling is given through the first component of the Bresse model with the heat conduction of second sound type. We state the well‐posedness and show the polynomial stability of the system, where the decay rate depends on the smoothness of initial data. Moreover, we prove the non exponential and the exponential decay depending on new conditions on the parameters of the system. The proof is based on a combination of the energy method and the frequency domain approach.

Authors

Mounir Afilal,Aissa Guesmia,Abdelaziz Soufyane

Journal

ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik

Published Date

2023/10

Numerical approximation of the optimal control of a population dynamics model

In this paper, we present a numerical approach to an inverse problem of a population dynamics model. We propose a numerical approximation of the optimal control for obtaining the desired observation state using the augmented Lagrangian method. Moreover, the existence and uniqueness of the numerical solutions are mathematically investigated in this work. Finally, we present some numerical experiments to illustrate our theoretical results.

Authors

Mostafa Zahri Mohamed Alahyane,Abdelaziz Soufyane

Journal

Numerical methods for partial differential equations

Published Date

2023

Electrothermal transport of water conveying copper, silver and alumina nanoparticles through a vertical wavy microchannel

This study emphasizes the significance of optimizing heat transmission, energy conversion, and thermal management in electronic devices, renewable energy systems, and emerging technologies like thermoelectric devices and energy storage systems. The aim is to enhance heat transfer efficiency for improved performance and lifespan of electronic equipment. The research utilizes a mathematical flow analysis to study a water-based ternary nanofluid's flow and thermal characteristics in a vertical microfluidic channel driven by peristalsis and electroosmosis. The ternary-hybrid nanofluid (THNF), comprising copper, silver, and alumina nanoparticles dissolved in water, is examined considering induced magnetic fields. The study delves into fluid flow, heat absorption, and mixed convection, using Debye–Hückel, lubrication, and long wavelength approximations. Results show that THNF exhibits superior heat …

Authors

S Waheed,S Noreen,M Zahri,A Soufyane

Journal

Nanotechnology

Published Date

2023/9/6

Piezoelectric beams with magnetic effect and localized damping

In this work we are considering a one-dimensional dissipative system of piezoelectric beams with magnetic effect and localized damping. We prove that the system is exponential stable using a damping mechanism acting only on one component and on a small part of the beam.1. Introduction. Discovered and carried out by the brothers Pierre and Jacques Curie in France in 1880, the piezoelectric effect is presented in crystals. The Curie brothers, however, did not foresee the reverse piezoelectric effect. The inverse effect was mathematically deduced from fundamental principles of thermodynamics by Gabriel Lippmann in 1881. The Curies immediately confirmed the existence of the inverse effect, which quantitatively evidenced the complete electro-mechanical reversibility for deformations in piezoelectric crystals. In the following decades, piezoelectricity remained a laboratory curiosity. More work was done to explore and define the crystal structures that had the property of generating an electric current. This culminated in the year 1910 with the publication of the book by Woldemar Voigt Lehrbuch der Kristallphysik (mit Ausschluss der Kristalloptik), which describes 20 classes of natural crystals capable of generating current when subjected to mechanical pressure, and rigorously defined the piezoelectric constants using analysis tensor.

Authors

Mounir Afilal,Abdelaziz Soufyane,Mauro de Lima Santos

Journal

Mathematical Control & Related Fields

Published Date

2023/3/1

A general stability result for swelling porous elastic media with nonlinear damping and nonlinear delay term

We consider a swelling porous-elastic system with single nonlinear damping and nonlinear delay term in the elastic equation. We establish the general decay result using multiplier method.

Authors

Abdelaziz Soufyane,Mounir Afilal,Tijani Apalara,Karim Rhofir

Journal

Afrika Matematika

Published Date

2023/12

Analysis of exponential stabilization for Rao-Nakra sandwich beam with time-varying weight and time-varying delay: Multiplier method versus observability.

In this paper, we study the global well-posedness and exponential stability for a Rao-Nakra sandwich beam equation with time-varying weight and time-varying delay. The system consists of one Euler-Bernoulli beam equation for the transversal displacement, and two wave equations for the longitudinal displacements of the top and bottom layers. By using the semigroup theory, we show that the system is globally well posed. We give two approaches to obtain the exponential stability. The first one is established by multiplier approach provided the coefficients of delay terms are small. We can also obtain the stability by establishing an equivalence between the stabilization of this system and the observability of the corresponding undamped system. The result is new and is the first result of observability on the Rao-Nakra sandwich beam with with time-varying weight and time-varying delay.

Authors

Baowei Feng,Carlos Alberto Raposo,Carlos Alberto Nonato,Abdelaziz Soufyane

Journal

Mathematical Control & Related Fields

Published Date

2023/6/1

ON THE DECAY OF MGT-VISCOELASTIC PLATE WITH HEAT CONDUCTION OF CATTANEO TYPE IN BOUNDED AND UNBOUNDED DOMAINS.

In this paper, we consider a viscoelastic plate equation of Moore-Gibson-Thompson viscoelastic plate with heat conduction of Cattaneo type. We investigate the system in bounded and unbounded domains, seeking exponential stability in bounded domains and polynomial decay rates for the Cauchy problem. It turns out that our system is exponentially stable in the bounded domain, while the system has regularity loss in the Cauchy problem. Our results are proved in the sub-critical case K > 0.

Authors

M Afilal,TA Apalara,A Soufyane,A Radid

Journal

Communications on Pure & Applied Analysis

Published Date

2023/1/1

Stabilization of Timoshenko–Ehrenfest type systems

In this paper, we consider the Timoshenko–Ehrenfest beam models (Elishakoff 2019, Who developed the so-called Timoshenko beam theory? Math Mech Solids 25(1):97–116) and we established exponential decay results based on influence of the second spectrum of frequency and its damaging consequences for wave propagation speeds. For the classical case, having two wave speeds governing the stress waves and shear waves, we prove that the corresponding semigroup associated with the system decays exponentially under equal wave speeds assumption. On contrary, there is a lack of exponential stability and we prove its optimality based on Borichev-Tomilov approach. For the truncated case, we assure the well-posedness using the Faedo–Galerkin method and we prove that the total energy decays exponentially regardless any relationship between coefficients of the system using the energy …

Authors

DS Almeida Júnior,MM Freitas,Anderson de Jesus Araújo Ramos,A Soufyane,ML Cardoso,ADS Campelo

Journal

Computational and Applied Mathematics

Published Date

2022/2

Applying latent Dirichlet allocation technique to classify topics on sustainability using Arabic text

In this paper, we build up on the existing literature pertaining topic modelling and sustainability by exploring Arabic text, mapping the Sustainability Development Goals (SDGs) presented by the United Nation to the tweets published in Arabic. The work utilized the popular Latent Dirichlet Allocation (LDA) technique, to summarize and present subtopics that matter to various sustainability areas, with a focus on 3 of the 17 Sustainability Development Goals. Term Weighting Scheme using TF-IDF and a document term matrix extracted to highlight the most influential keywords that formed the topics. The work presented a unique set of topics and terms that correlate with the certain areas of sustainability. Further exploration of Arabic sources, will inform people concerned with sustainability on the various issues related to sustainable development in the Arab World. The work presented in this paper is a step towards …

Authors

Islam Al Qudah,Ibrahim Hashem,Abdelaziz Soufyane,Weisi Chen,Tarek Merabtene

Published Date

2022/7/7

Stabilization results of a Lorenz piezoelectric beam with partial viscous dampings

In this paper, we investigate the stabilization of a one-dimensional Lorenz piezoelectric (Stretching system) with partial viscous dampings. First, by using Lorenz gauge conditions, 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 stability 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.

Authors

Mohammad Akil,Abdelaziz Soufyane,Youssef Belhamadia

Journal

arXiv preprint arXiv:2207.00488

Published Date

2022/7/1

Exponential decay rate of a nonlinear suspension bridge model by a local distributed and boundary dampings

In this paper, we investigate the decay properties of the unconstrained one dimensional suspension bridge model. With only partial damping acting on one or on both equations and with boundary dampings, we prove that the first order energy is decaying exponentially, our method of proof is based on the energy method to build the appropriate Lyapunov functional. Moreover, we develop a numerical algorithm which is based on the finite element method to approximate the spatial variable and the Crank–Nicolson type of symmetric difference scheme to discretize the time derivative, and also a Picard type iteration process for solving the system of nonlinear equations obtained by discretization. At the end, we present some numerical experiments to illustrate our theoretical results.

Authors

Mounir Afilal,My Driss Aouragh,Baowei Feng,Abdelaziz Soufyane

Journal

Nonlinear Analysis: Real World Applications

Published Date

2022/12/1

On well-posedness and exponential decay of swelling porous thermoelastic media with second sound

This work focuses on the well-posedness and exponential stability results of a swelling porous thermoelastic system with heat flux given by Maxwell-Cattaneo's law. Precisely, using the well-known Lumer-Phillips theorem, we establish the well-posedness result of the system. Furthermore, using the multiplier method, we prove that the system is exponential stable irrespective of any stability number or equality of wave propagation. This result is unique and unexpected, especially when compared to similar problems like Timoshenko, Bresse, and thermoelasticity with second sound. In each of the systems mentioned above, a stability number is necessary for the exponential stability of the systems. Undoubtedly, our coupling and the result give new contributions to the asymptotic behaviors of swelling porous thermoelastic soils.

Authors

Tijani A Apalara,Abdelaziz Soufyane,Mounir Afilal

Journal

Journal of Mathematical Analysis and Applications

Published Date

2022/6/15

Energy decay for a weakly nonlinear damped porous system with a nonlinear delay

This paper considers a one-dimensional porous system damped with weakly nonlinear feedback in the presence of a nonlinear delay. We prove the global existence and uniqueness results using the Faedo–Galerkin procedure. Furthermore, under appropriate assumptions on the weight of the delay and without imposing any restrictive growth assumption on the damping term at the origin, we establish an energy decay rate, using a perturbed energy method and some properties of convex functions in case of the same speed of propagation in the two equations of the system.

Authors

Tijani A Apalara,Abdelaziz Soufyane

Journal

Applicable Analysis

Published Date

2022/11/22

Uniform decay rates of a Bresse thermoelastic system in the whole space

In this paper, we investigate the decay properties of the thermoelastic Bresse system in the whole space. We consider many cases depending on the parameters of the model, and we establish new decay rates. We need to mention here that in some cases, we don't have the regularity‐loss phenomena as in the previous works in the literature. To prove our results, we use the energy method in the Fourier space to build a very delicate Lyapunov functionals that give the desired results.

Authors

Mounir Afilal,Baowei Feng,Abdelaziz Soufyane

Journal

Mathematical Methods in the Applied Sciences

Published Date

2022/11/15

Impact of the Damaging Consequences of the Second Spectrum on the Stabilization of Nonlinear Timoshenko Systems

In this paper, we consider a one-dimensional coupled Timoshenko type system in the light of the second spectrum of frequency (no blow-up on second wave speed) with a single weakly nonlinear feedback acting only on the angular rotation. Without imposing any restrictive growth assumption near the origin on the damping term, we establish an explicit and general decay rate using a multiplier method and some properties of convex functions. This is made without classical equal wave speeds assumption. Before, we proved the well-posedness by using the Faedo-Galerkin method. Our results are new and considerable improve earlier results where the equal wave speeds played the role for getting the stability properties. In addition, in the conclusions section, we consider the same truncated version but with non-linear damping acting on the transversal displacement and we describe how the known mathematical …

Authors

DS Almeida Júnior,AJA Ramos,A Soufyane,MM Freitas,ML Santos

Journal

Acta Applicandae Mathematicae

Published Date

2022/8

A general stability result for a nonlinear viscoelastic coupled Kirchhoff system with distributed delay

In this paper, we consider a nonlinear coupled Kirchhoff system with viscoelastic damping and a distributed delay. We established a general stability result, where an exponential result in the literature is only a particular case. We illustrate the stability result with some examples.

Authors

Tijani A Apalara,Abdelaziz Soufyane

Journal

Afrika Matematika

Published Date

2022/3

Uniform energy decay rates for a transmission problem of Timoshenko system with two memories

This paper studies the long-time behavior of solutions for a transmission problem of Timoshenko beam with memory. We show that the stability of the system holds for a much larger class of relaxation functions and get better decay rate than the ones existing in the literature. We also give some numerical tests to validate the theoretical results.

Authors

Mounir Afilal,Mohamed Alahyane,Baowei Feng,Abdelaziz Soufyane

Journal

Zeitschrift für angewandte Mathematik und Physik

Published Date

2022/8

The optimal decay rates for viscoelastic Timoshenko type system in the light of the second spectrum of frequency

The stabilization properties of dissipative Timoshenko systems have been attracted the attention and efforts of researchers over the years. In the past 20 years, the studies in this scenario distinguished primarily by the nature of the coupling and the type or strength of damping. Particularly, under the premise that the Timoshenko beam model is a two-by-two system of hyperbolic equations, a large number of papers have been devoted to the study of the so-called partially damped Timoshenko systems by assuming damping effects acting only on the angle rotation or vertical displacement (Almeida Júnior et al. in Math Methods Appl Sci 36:1965–1976, 2013; in Z Angew Math Phys 65:1233–1249, 2014; Alves et al. in SIAM J Math Anal 51(6):4520–4543, 2019; Ammar-Khodja et al. in J Differ Equ 194:82–115, 2003; Muñoz Rivera and Racke in Discrete Contin Dyn Syst Ser B 9:1625–1639, 2003; J Math Anal Appl …

Authors

DS Almeida Júnior,B Feng,M Afilal,A Soufyane

Journal

Zeitschrift für angewandte Mathematik und Physik

Published Date

2021/8

Uniform decay rates of a coupled suspension bridges with temperature

In this paper, we investigate the decay properties of the thermoelastic suspension bridges model. We prove that the energy is decaying exponentially. To our knowledge, our result is new and our method of proof is based on the energy method to build the appropriate Lyapunov functional.

Authors

Mounir Afilal,Mohamed Alahyane,Abdelaziz Soufyane

Journal

Arabian Journal of Mathematics

Published Date

2021/12

New stability results for a linear thermoelastic Bresse system with second sound

In this paper, we consider a linear one-dimensional thermoelastic Bresse system with second sound consisting of three hyperbolic equations and two parabolic equations coupled in a certain manner under mixed homogeneous Dirichlet–Neumann boundary conditions, where the heat conduction is given by Cattaneo’s law. Only the longitudinal displacement is damped via the dissipation from the two parabolic equations, and the vertical displacement and shear angle displacement are free. We prove the well-posedness of the system and some exponential, non exponential and polynomial stability results depending on the coefficients of the equations and the smoothness of initial data. Our method of proof is based on the semigroup theory and a combination of the energy method and the frequency domain approach.

Authors

M Afilal,A Guesmia,A Soufyane

Journal

Applied Mathematics & Optimization

Published Date

2021/4

Optimal decay rates of a nonlinear suspension bridge with memories

In this paper, we investigate the decay properties of suspension bridge with memories in one dimension. To prove our results, we use the energy method to build some very delicate Lyapunov functionals that give the desired results.

Authors

Mounir Afilal,Baowei Feng,Abdelaziz Soufyane

Journal

Mathematical Methods in the Applied Sciences

Published Date

2021/11/30

New decay rates for Cauchy problem of the Bresse system in thermoelasticty type III

In this paper, we consider the Bresse system in thermoelasticity of type III, we prove new decay results for the -norm of the solution and its higher order derivatives. To prove our results, we use the energy method in the Fourier space to build a very delicate Lyapunov functionals that give the desired results. These results improve the one existing in the literature [Said-Houari B, Rahali R. Asymptotic behavior of the Cauchy problem of the Timoshenko system in thermoelsaticity of type III. Evol Equ Control Theory. 2013;2(2):423–440.].

Authors

Mounir Afilal,Abdelaziz Soufyane,Atika Radid

Journal

Applicable Analysis

Published Date

2021/10/26

Long-time behavior of partially damped systems modeling degenerate plates with piers

We consider a partially damped nonlinear beam-wave system of evolution PDE's modeling the dynamics of a degenerate plate. The plate can move both vertically and torsionally and, consequently, the solution has two components. We show that the component from the damped beam equation always vanishes asymptotically while the component from the (undamped) wave equation does not. In case of small energies we show that the first component vanishes at exponential rate. Our results highlight that partial damping is not enough to steer the whole solution to rest and that the partially damped system can be less stable than the undamped system. Hence, the model and the behavior of the solution enter in the framework of the so-called indirect damping and destabilization paradox. These phenomena are valorized by the physical interpretation in the final section, leading to possible new explanations of the …

Authors

Filippo Gazzola,Abdelaziz Soufyane

Journal

Nonlinearity

Published Date

2021/10/5

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

This paper considers a one-dimensional piezoelectric beams with magnetic effect damped with a weakly nonlinear feedback in the presence of a nonlinear delay term. Under appropriate assumptions on the weight of the delay, we establish an energy decay rate, using a perturbed energy method and some properties of a convex functions. Our result generalizes the recent result obtained in Ramos et al. (Z Angew Math Phys 72:26, 2021). https://doi.org/10.1007/s00033-020-01457-8 .

Authors

A Soufyane,M Afilal,ML Santos

Journal

Zeitschrift für angewandte Mathematik und Physik

Published Date

2021/8

Existence and decay rates for a coupled Balakrishnan‐Taylor viscoelastic system with dynamic boundary conditions

In this paper, we are concerned with a coupled viscoelastic wave system with Balakrishnan‐Taylor dampings, dynamic boundary conditions, source terms, and past histories. Under suitable assumptions on relaxation functions and source terms, we prove the global existence of solutions by potential well theory and we establish a more general decay result of energy, in which the exponential decay and polynomial decay are only special cases, by introducing suitable energy and perturbed Lyapunov functionals.

Authors

Baowei Feng,Abdelaziz Soufyane

Journal

Mathematical Methods in the Applied Sciences

Published Date

2020/4

On the exponential and polynomial stability for a linear Bresse system

In this paper, we consider a linear one‐dimensional Bresse system consisting of three hyperbolic equations coupled in a certain manner under mixed homogeneous Dirichlet‐Neumann boundary conditions. Here, we consider that only the longitudinal displacement is damped, and the vertical displacement and shear angle displacement are free. We prove the well‐posedness of the system and some exponential, lack of exponential and polynomial stability results depending on the coefficients of the equations and the smoothness of initial data. At the end, we use some numerical approximations based on finite difference techniques to validate the theoretical results. The proof is based on the semigroup theory and a combination of the energy method and the frequency domain approach.

Authors

M Afilal,A Guesmia,A Soufyane,M Zahri

Journal

Mathematical Methods in the Applied Sciences

Published Date

2020/3/30

New general decay results for a von Karman plate equation with memory-type boundary conditions.

In this paper we consider a von Karman plate equation with memory-type boundary conditions. By assuming the relaxation function ki(i= 1, 2) with minimal conditions on the L1(0,∞), we establish an optimal explicit and general energy decay result. In particular, the energy result holds for H (s)= sp with the full admissible range [1, 2) instead of [1, 3/2). This result is new and substantially improves earlier results in the literature.

Authors

Baowei Feng,Abdelaziz Soufyane

Journal

Discrete & Continuous Dynamical Systems: Series A

Published Date

2020/3/1

Issues related to the second spectrum, Ostrogradsky’s energy and the stabilization of Timoshenko–Ehrenfest-type systems

In this paper, we discuss the stabilization properties of a beam model on a Winkler foundation by using Timoshenko–Ehrenfest-type systems, taking into account the influence of the so-called second spectrum. We consider the well-known classical version of the Timoshenko–Ehrenfest beam model as well as the truncated (or simplified) version of the same beam model according to the approach given by Elishakoff (in: Banks-Sills (ed.), Advances in mathematical modelling and experimental methods for materials and structures, solid mechanics and its applications. Springer, Berlin, pp 249–254, 2010). The main novelty of our approach is the concept of applying Ostrogradsky’s energy to both beam models to highlight the physics issues arising in the frequency spectra. Our ideas are an attempt to fill the gap regarding the consequences of the second spectrum in the stabilization scenario for dissipative Timoshenko …

Authors

DS Almeida Júnior,AJA Ramos,A Soufyane,ML Cardoso,ML Santos

Journal

Acta Mechanica

Published Date

2020/9

Optimal decay rates of a nonlinear time-delayed viscoelastic wave equation

This paper concerns a nonlinear viscoelastic wave equation with time-dependent delay. Under suitable relation between the weight of the delay and the weight of the term without delay, we prove the global existence of weak solutions by the combination of the Galerkin method and potential well theory. In addition, by assuming the minimal conditions on the L1 (0,∞) relaxation function g, namely, g (t)≤− ξ (t) H (g (t)), where H is an increasing and convex function and ξ is a nonincreasing differentiable function, and by using some properties of convex functions, we establish optimal explicit and general energy decay results. This result is new and substantially improves existing results in the literature.

Authors

Baowei Feng,Abdelaziz Soufyane

Published Date

2020/1/1

Memory-type boundary control of a laminated Timoshenko beam

In this paper, we consider a laminated Timoshenko beam with boundary conditions of a memory type. This structure is given by two identical uniform layers, one on top of the other, taking into account that an adhesive of small thickness bonds the two surfaces and produces an interfacial slip. Under the assumptions of wider classes of kernel functions, we establish an optimal explicit energy decay result. The stability result is more general than previous works and hence improves earlier results in the literature.

Authors

Baowei Feng,Abdelaziz Soufyane

Journal

Mathematics and Mechanics of Solids

Published Date

2020/8

New decay rates for Cauchy problem of Timoshenko thermoelastic systems with past history: Cattaneo and Fourier law

In this paper, we investigate the decay properties of the thermoelastic Timoshenko system with past history in the whole space where the thermal effects are given by Cattaneo and Fourier laws. We obtain that both systems, Timoshenko–Fourier and Timoshenko–Cattaneo, have the same rate of decay and the regularity‐loss‐type property is not present in some cases. Moreover, new stability number χ is introduced, such new number controls the decay rate of the solution with respect to the regularity of the initial data. To prove our results, we use the energy method in Fourier space to build an appropriate Lyapunov functionals that give the desired results.

Authors

Mounir Afilal,Baowei Feng,Abdelaziz Soufyane

Journal

Mathematical Methods in the Applied Sciences

Published Date

2021/10

See List of Professors in Abdelaziz Soufyane University(University of Sharjah)

Abdelaziz Soufyane FAQs

What is Abdelaziz Soufyane's h-index at University of Sharjah?

The h-index of Abdelaziz Soufyane has been 16 since 2020 and 21 in total.

What are Abdelaziz Soufyane's top articles?

The articles with the titles of

Energy decay analysis for Porous elastic system with microtemperature: Classical vs second spectrum approach

Exponential stability and numerical computation for a nonlinear shear beam system

Stability results of a swelling porous-elastic system with two nonlinear variable exponent damping

Stability analysis for a Rao-Nakra sandwich beam equation with time-varying weights and frictional dampings

On the internal and boundary stabilization of a nonlinear suspension bridge system: Exponential and polynomial decay rates

Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law

Optimal memory-type boundary control of the Bresse system

New general decay results for a multi-dimensional Bresse system with viscoelastic boundary conditions

...

are the top articles of Abdelaziz Soufyane at University of Sharjah.

What are Abdelaziz Soufyane's research interests?

The research interests of Abdelaziz Soufyane are: control theory, partial differential equations, numerical approximation

What is Abdelaziz Soufyane's total number of citations?

Abdelaziz Soufyane has 1,605 citations in total.

What are the co-authors of Abdelaziz Soufyane?

The co-authors of Abdelaziz Soufyane are Ali Diabat, Salim A. Messaoudi, Belkacem Said-Houari, Mauro de Lima Santos, Hesham El-Sayed, Baowei Feng.

    Co-Authors

    H-index: 67
    Ali Diabat

    Ali Diabat

    New York University

    H-index: 51
    Salim A. Messaoudi

    Salim A. Messaoudi

    University of Sharjah

    H-index: 29
    Belkacem Said-Houari

    Belkacem Said-Houari

    University of Sharjah

    H-index: 25
    Mauro de Lima Santos

    Mauro de Lima Santos

    Universidade Federal do Pará

    H-index: 22
    Hesham El-Sayed

    Hesham El-Sayed

    United Arab Emirates University

    H-index: 18
    Baowei Feng

    Baowei Feng

    Southwestern University of Finance and Economics

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