| Full text | |
| Author(s): |
Calsavara, B. M. R.
;
Tavares, E. H. Gomes
;
Silva, M. A. Jorge
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 512, n. 2, p. 17-pg., 2022-08-15. |
| Abstract | |
We are concerned with the characterization of the (uniform) exponential stability for a thermo-viscoelastic Timoshenko beam system under the Fourier law for heat conduction and memory in a history setting. Motivated by [5,6], we explore an intrinsic (non differentiable) assumption on the memory kernel that provides a necessary and sufficient condition for the exponential stability of the whole system. It gives a substantial generalization of the stability results obtained in [10,14,18] and surely ties up loose ends about the hypothesis equivalent to exponential stability of the problem. (C) 2022 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 19/02512-5 - Systems and partial differential equations |
| Grantee: | Marcelo da Silva Montenegro |
| Support Opportunities: | Research Projects - Thematic Grants |