Abstract
In this paper we first explore the deduction of the mathematical model for some viscoelastic Timoshenko systems. As a consequence, a new partially dissipative viscoelastic Timoshenko system arises with damping mechanism acting only on the shear force. Then, we prove uniform decay rates for this new system with the help of a modern observability inequality, where the assumption of equal speeds of wave propagation is regarded as a sufficient condition. Moreover, we prove that equal wave speeds is also a necessary condition to establish uniform decay rates.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
