Well-posedness and stability analysis for Timoshenko beam system with Coleman-Gurtin's and Gurtin-Pipkin's thermal laws

Abstract

In this article, the effect of Coleman-Gurtin’s and Gurtin-Pipkin’s thermal laws on the displacement of a Timoshenko beam system with suspenders is studied. Using the existing semi-group theory and energy method, the existence and uniqueness of weak global solution, as well as a stability result without imposing any conditions on the coefficient parameters, are established.

Keywords

• timoshenko beam
• suspenders
• coleman-gurtin
• gurtin-pipkin
• well-posedness
• stability
• 35b35
• 35d30
• 35d35
• 35q74
• 35k05