Abstract
In this paper, we consider a one-dimensional linear Bresse system with only one infinite memory term acting in the third equation (longitudinal displacements). Under a general condition on the memory kernel (relaxation function), we establish a decay estimate of the energy of the system. Our decay result extends and improves some decay rates obtained in the literature such as the one in [27], [4], [33], [58] and [34]. The proof is based on the energy method together with convexity arguments. Numerical simulations are given to illustrate the theoretical decay result.
| Original language | English |
|---|---|
| Pages (from-to) | 191-212 |
| Number of pages | 22 |
| Journal | Evolution Equations and Control Theory |
| Volume | 12 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2023 |
Bibliographical note
Publisher Copyright:© 2023, American Institute of Mathematical Sciences. All rights reserved.
Keywords
- Bresse system
- convexity
- finite element and finite difference methods
- relaxation functions
- stability
ASJC Scopus subject areas
- Modeling and Simulation
- Control and Optimization
- Applied Mathematics
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