ABDELAZIZ Limam

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ABDELAZIZ Limam

عبد العزيز ليمام

abdelaziz.limam@univ-msila.dz

+213 662 95 18 37

  • Mathematics Department
  • Faculty of Mathematics and Informatics
  • Grade PHd
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About Me

Education

Master’s diploma. in University of science and technology (Houari Boumediene), Bab -Ezzouar, Algiers

Research Domains

Some Boundary Problems with Acoustic Boundary Conditions

Location

Tamanrasset, Tamanrasset

Tamanrasset, ALGERIA

Code RFIDE

  • 2021
  • 2021

    New general stability for a variable coefficient thermo-viscoelastic-coupled system of second sound with acoustic boundary conditions

    In this paper, we consider a variable coefficient thermo-viscoelastic-coupled system of second sound with acoustic boundary conditions, where the heat conduction is given by Cattaneo’s law. We establish a general decay of energy-associated solutions under a class of generality of the relaxation function. Our result extends the various decay results obtained for problems with or without thermo-viscoelasticity.

    Citation

    Abdelaziz LIMAM , Benyattou Benabderrahmane , Yamna Boukhatem, , (2021), New general stability for a variable coefficient thermo-viscoelastic-coupled system of second sound with acoustic boundary conditions, Computational and Applied Mathematics, Vol:40, Issue:3, pages:88, Springer Nature

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  • 2021
  • 2021

    On a viscoelastic wave equation of infinite memory coupled with acoustic boundary conditions

    This work deals with a coupled system of viscoelastic wave equation of infinite memory. The coupling is via by the acoustic boundary conditions. The semigroup theory is used to show the global existence of solution. Moreover, we investigate exponential stability of the system taking into account Gearhart-Pruss’ theorem.

    Citation

    Abdelaziz LIMAM , Benyattou Benabderrahmane , Yamna Boukhatem, ,(2021), On a viscoelastic wave equation of infinite memory coupled with acoustic boundary conditions,The First Online International Conference on Pure and Applied Mathematics IC-PAM’21,Kasdi Merbah University, Ouargla, Algeria

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  • 2021
  • 2021

    General Decay Result for a Type III Thermoelastic Coupled System with Acoustic Boundary Conditions in the Presence of Distributed Delay

    In the paper, the general decay of energy solutions for a type III thermoelastic coupled system with distributed delay is studied. The coupling is via the acoustic boundary conditions. Our result is obtained under a class of generality of the relaxation function g : R+ → R+ satisfying the inequality g'(t) ≤ −ξ(t)H(t) for all t ≥ 0, where ξ and H are functions satisfying some specific properties. This work extends previous works with thermoelasticity of type III and improves earlier results in the literature.

    Citation

    Abdelaziz LIMAM , Benyattou Benabderrahmane , Yamna Boukhatem, , (2021), General Decay Result for a Type III Thermoelastic Coupled System with Acoustic Boundary Conditions in the Presence of Distributed Delay, Journal of Mathematical Physics, Analysis, Geometry, Vol:17, Issue:2, pages:175-200, National Academy of Sciences of Ukraine, B.Verkin, Institute for Low Temperature Physics and Engineering.

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  • 2021
  • 2021

    General decay for a coupled system of viscoelastic wave equation of infinite memory with acoustic boundary conditions

    A coupled system of viscoelastic wave equation of infinite memory is considered. The coupling is via by the acoustic boundary conditions. Under very general assumption on the relaxation function, we establish a general decay result. This work substantially improves the earlier results in cases of acoustic boundary conditions.

    Citation

    Abdelaziz LIMAM , Benyattou Benabderrahmane , Yamna Boukhatem, ,(2021), General decay for a coupled system of viscoelastic wave equation of infinite memory with acoustic boundary conditions,International Conference on Recent Advances in Mathematics and Informatics (ICRAMI 2021),University of Laarbi Tebessi, Tebessa, Algeria

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  • 2021
  • 2021

    Global solvability and decay estimates for a type III thermo-viscoelastic coupled system with infinite memory and boundary interaction feedback

    A type III thermo-viscoelastic coupled system with infinite memory and distributed delay is considered. The interaction feedback between the nonlinear damping and the acoustic conditions are reacted on portion of the boundary. We obtain the well posedness and regularity of the system by using semigroup theory which is combined with Schauder’s fixed point theorem. Moreover, the general decay estimates are established under a much larger class of relaxation functions. Our results are obtained without the boundedness condition of initial data assumed in many earlier papers in the literature. This work generalizes the composite stability between infinite memory and nonlinear damping.

    Citation

    Abdelaziz LIMAM , Benyattou Benabderrahmane , Yamna Boukhatem, , (2021), Global solvability and decay estimates for a type III thermo-viscoelastic coupled system with infinite memory and boundary interaction feedback, Mathematische Nachrichten, Vol:294, Issue:9, pages:24, WILEY VCH

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  • 2019
  • 2019

    Exponential Stability for a Linear Coupled System of Thermoelastic Type of Second Sound

    In this work, we consider a linear coupled system of thermoelastic type with both second sound and acoustic boundary conditions, where the heat conduction is given by Cattaneo's law and the coupling is via the displacement equation. We show the well possedness of the system by using the semigroup theory. Moreover, we investigate with a stability exponential with a PDE technique of a $\mathcal{C}_0-$semigroup on a Hilbert space.

    Citation

    Abdelaziz LIMAM , Benyattou Benabderrahmane , Yamna Boukhatem, ,(2019), Exponential Stability for a Linear Coupled System of Thermoelastic Type of Second Sound,Third International Conference in Operator Theory, PDE and Applications (CITO2019),El Oued, Algeria

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