Electronic Research Archive (May 2024)
Stability of thermoelastic Timoshenko system with variable delay in the internal feedback
Abstract
Based on the Fourier law of heat conduction, this paper was concerned with the thermoelastic Timoshenko system with memory and variable delay in the internal feedback, which describes the transverse vibration of a beam. By the Lummer-Phillips theorem and the variable norm technique suitable for the nonautonomous operator, the stability of the coupled system has been derived in space $ \mathscr{H} $.
Keywords