A transmission problem for the Timoshenko system with one local\n Kelvin-Voigt damping and non-smooth coefficient at the interface

2020/05/24 by Mouhammad Ghader, Ghader, Mouhammad, Ali Wehbe +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2005.12756

openalex publication_date 2020/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the indirect stability of Timoshenko system with\nlocal or global Kelvin-Voigt damping, under fully Dirichlet or mixed boundary\nconditions. Unlike the results of H. L. Zhao, K. S. Liu, and C. G. Zhang and of\nX. Tian and Q. Zhang, in this paper, we consider the Timoshenko system with\nonly one locally or globally distributed Kelvin-Voigt damping. Indeed, we prove\nthat the energy of the system decays polynomially and that the obtained decay\nrate is in some sense optimal. The method is based on the frequency domain\napproach combining with multiplier method.\n

Citations

• Optimal polynomial decay of functions and operator semigroups

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