Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with microtemperature effect

• Main Authors: Choucha A., Saad S.A.A., Jan R., Boulaaras S.
• Other Authors: 57216493937
• Format: Article
• Published: Birkhauser 2024
• Subjects: Decay rate; Fourier transform; Lord�Shulman; Mathematical operators; Microtemperature damping; Partial differential equations; Thermoelasticity

In this work, we deal with a one-dimensional Cauchy problem in Timoshenko system with temperature and microtemperature effect. The heat conduction is given by the theory of Lord�Shulman. We prove that the dissipation induced by the coupling of the Timoshenko system with the heat conduction of Lord�S...