Abstract
This paper is concerned with the following partially dissipative viscoelastic Timoshenko system (Formula presented.) with damping mechanism acting only on the shear force, and with Dirichlet boundary conditions. We consider a very general relaxation function (Formula presented.) Under appropriate conditions on ξ and H, we establish a general stability result. The result is obtained under the assumption of equal speed of wave propagation. This work extends and generalizes many results in literature such as Alves et al. [On modeling and uniform stability of a partially dissipative viscoelastic Timoshenko system. SIAM J Math Anal. 2019;51(6):4520–4543].
| Original language | English |
|---|---|
| Pages (from-to) | 2123-2140 |
| Number of pages | 18 |
| Journal | Applicable Analysis |
| Volume | 102 |
| Issue number | 7 |
| DOIs | |
| State | Published - 2023 |
Bibliographical note
Publisher Copyright:© 2021 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
- Timoshenko system
- convex functions
- equal wave speeds
- general decay
- viscoelasticity
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
Fingerprint
Dive into the research topics of 'New stability result of a partially dissipative viscoelastic Timoshenko system with a wide class of relaxation function'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver