Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effect
DOI10.1007/S11868-023-00561-3zbMath1526.35055OpenAlexW4387448786MaRDI QIDQ6063495
Sofian Abuelbacher Adam Saad, Salah Mahmoud Boulaaras, Abdelbaki Choucha, Rashid Jan
Publication date: 7 November 2023
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11868-023-00561-3
Fourier transformthermoelasticitypartial differential equationsdecay rateLord-Shulmanmicrotemperature dampingmathematical operators
Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Asymptotic stability in control theory (93D20) Initial value problems for systems of linear higher-order PDEs (35G40)
Cites Work
- The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system
- Thermoelasticity of bodies with microstructure and microtemperatures
- Decay rate of solutions to Timoshenko system with past history in unbounded domains
- Exponential stabilization of a swelling porous-elastic system with microtemperature effect and distributed delay
- General decay of the Moore-Gibson-Thompson equation with viscoelastic memory of type II
- On the stabilization of linear porous elastic materials by microtemperature effect and porous damping
- Decay rates for the Moore-Gibson-Thompson equation with memory
- Lord-Shulman thermoelasticity with microtemperatures
- Asymptotic behavior of the solution to the Cauchy problem for the Timoshenko system in thermoelasticity of type III
- A generalized dynamical theory of thermoelasticity
- A general theory of heat conduction with finite wave speeds
- The Bresse system in thermoelasticity
- The asymptotic behavior of the Bresse–Cattaneo system
- The Cauchy problem of the Bresse system in thermoelasticity of type III
- A re-examination of the basic postulates of thermomechanics
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