Global existence and general decay of a weakly nonlinear damped Timoshenko system of thermoelasticity of type III with infinite memory
DOI10.5890/JAND.2022.03.012zbMath1492.74045OpenAlexW4212883943MaRDI QIDQ5069104
Salah Zitouni, Mohamed Houasni, Abdelhak Djebabla
Publication date: 8 April 2022
Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5890/jand.2022.03.012
well-posednesssemigroup theoryenergy functionstability estimatemethod of multipliersPoincare inequality
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Thermal effects in solid mechanics (74F05) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
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- General decay for a porous-thermoelastic system with memory: the case of nonequal speeds
- General stability result in a memory-type porous thermoelasticity system of type III
- Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay
- General energy decay in a Timoshenko-type system of thermoelasticity of type III with a viscoelastic damping
- Exponential stabilization of the Timoshenko system by a thermo-viscoelastic damping
- General decay for a porous thermoelastic system with memory: the case of equal speeds
- General decay in a Timoshenko-type system with thermoelasticity with second sound
- Energy decay of solutions of a degenerate Kirchhoff equation with a weak nonlinear dissipation
- Functional analysis, Sobolev spaces and partial differential equations
- On the stability of damped Timoshenko systems: Cattaneo versus Fourier law
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- Existence and general stabilization of the Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms
- Decay rates for dissipative wave equations
- Stabilization of a nonlinear Timoshenko beam
- Global existence and stability results for a nonlinear Timoshenko system of thermoelasticity of type III with delay
- Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping
- General decay of a nonlinear damping porous-elastic system with past history
- On a semilinear Timoshenko-Coleman-Gurtin system: quasi-stability and attractors
- A general decay for a weakly nonlinearly damped porous system
- Asymptotic behavior for Timoshenko beams subject to a single nonlinear feedback control
- Global existence, asymptotic stability, and uniform attractors for non-autonomous thermoelastic systems with constant time delay
- Long-time dynamics for a nonlinear Timoshenko system with delay
- Energy decay of solutions for Timoshenko beam with a weak non-linear dissipation
- Decay estimates for the wave equation of p-Laplacian type with dissipation of m-Laplacian type
- Nonlinear damped Timoshenko systems with second sound-Global existence and exponential stability
- General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- Stabilization of a type III thermoelastic Timoshenko system in the presence of a time‐distributed delay
- Energy decay result in a Timoshenko-type system of thermoelasticity of type III with distributive delay
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