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

Autor:	Khaled Zennir, Hanni Dridi
Rok vydání:	2021
Předmět:	Physics Numerical Analysis Control and Optimization Applied Mathematics Shear force Mathematical analysis Stability (probability) Coupling (physics) symbols.namesake Thermoelastic damping Fourier transform Modeling and Simulation Thermal Shear stress Bending moment symbols
Zdroj:	SeMA Journal. 78:385-400
ISSN:	2281-7875 2254-3902
DOI:	10.1007/s40324-021-00239-0
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cd6ad60adb8fd60b4235217a98eac1f0 https://doi.org/10.1007/s40324-021-00239-0 Zobrazit plný text záznamu Full text from SpringerLink