Paper Info
Title
Dynamical behavior of the indirectly and locally memory-damped Timoshenko system?
Abstract
We are concerned with dynamical behavior of the indirectly and locally memorydamped Timoshenko system. The polynomial/exponential decay results for the longterm dynamical behavior of the Timoshenko system are established when the memory kernels decay polynomially/exponentially. To obtain ideal asymptotic decay rates under basic conditions, we take some analysis processes specially designed for our issues. The obtained long-term dynamical behavior theorems, with the exact uniform decay rates for the solutions to the system, indicate that for the Timoshenko system with indirect memory damping, a local memory effect is enough to produce an entire dissipation mechanism and to ensure the same decay rates as in the case of global memory effect. Moreover, although our conditions on the memory kernels are weaker compared with the ones in the literature, we still derive stronger conclusions. Finally, we present some results of numerical simulation to illustrate quantitatively the behavior of the solution energies of our system, which agree with our theoretical results well. (c) 2022 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2022
10.1016/j.cnsns.2022.106577
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Keywords
DocType
Volume
Dynamical behavior, Indirect local memory damping, Timoshenko system, Numerical simulation
Journal
113
ISSN
Citations 
PageRank 
1007-5704
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Kun-Peng Jin100.34
Jin Liang24011.57
Ti-Jun Xiao300.68