Well-posedness and energy decay for some thermoelastic systems of Timoshenko type with Kelvin–Voigt damping

• Hanni Dridi ^[2] ; Khaled Zennir ^[1]
  1. [1] Qassim University

     Qassim University

     Arabia Saudí

     
  2. [2] University of Badji Mokhtar
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 78, Nº. 3, 2021, págs. 385-400
• Idioma: inglés
• DOI: 10.1007/s40324-021-00239-0
• Texto completo no disponible (Saber más ...)
• Resumen

  • This paper aims to study the well-posedness and the stability of two thermoelastic systems. The derivation of the first system is based on a classical coupling between the mechanical equations of Timoshenko and the thermal effects which are based on the conductivity of Fourier’s law. Whereas, the second system is derivable through a thermal coupling on the shear force. Furthermore, the damping of Kelvin–Voigt type is simultaneously presented in both the shear stress and the bending moment for the two systems.