Well-posedness and asymptotic stability for the Lamé system with infinite memories in a bounded domain

Author:

Bchatnia Ahmed, ,Guesmia Aissa,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Medicine,Applied Mathematics,Control and Optimization

Reference23 articles.

1. Strong asymptotic stability of isotropic elasticity systems with internal damping,;M. Aassila;Acta Sci. Math. (Szeged),1998

2. Boundary observability, controllability and stabilization of linear elastodynamic systems,;F. Alabau-Boussouira;SIAM J. Control and Optim.,1999

3. Indirect internal stabilization of weakly coupled evolution equations,;F. Alabau-Boussouira;J. Evol. Equa.,2002

4. Behavior of the energy for Lamé systems in bounded domains with nonlinear damping and external force,;A. Bchatnia;Electron. J. Diff. Equa.,2013

5. Asymptotic stability in viscoelasticity,;C. M. Dafermos;Arch. Ration. Mech. Anal.,1970

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1. Pullback dynamics of Lamé systems with time-dependent weak damping;Nonlinear Analysis: Real World Applications;2024-02

2. Dynamics of a critical semilinear Lamé system with memory;Zeitschrift für angewandte Mathematik und Physik;2023-09-04

3. Global attractors and synchronization of coupled critical Lamé systems with nonlinear damping;Journal of Differential Equations;2023-06

4. Asymptotic behavior of non-autonomous Lamé systems with subcritical and critical mixed nonlinearities;Nonlinear Analysis: Real World Applications;2022-10

5. Spectral enclosures for the damped elastic wave equation;Mathematics in Engineering;2022

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