| Title:
|
Exponential stability of a flexible structure with history and thermal effect (English) |
| Author:
|
Díaz, Roberto |
| Author:
|
Muñoz, Jaime |
| Author:
|
Martínez, Carlos |
| Author:
|
Vera, Octavio |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
65 |
| Issue:
|
4 |
| Year:
|
2020 |
| Pages:
|
407-420 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we study the asymptotic behavior of a system composed of an integro-partial differential equation that models the longitudinal oscillation of a beam with a memory effect to which a thermal effect has been given by the Green-Naghdi model type III, being physically more accurate than the Fourier and Cattaneo models. To achieve this goal, we will use arguments from spectral theory, considering a suitable hypothesis of smoothness on the integro-partial differential equation. (English) |
| Keyword:
|
exponential stability |
| Keyword:
|
dissipative system |
| Keyword:
|
flexible structure |
| Keyword:
|
functional analysis |
| MSC:
|
35B40 |
| MSC:
|
45N05 |
| MSC:
|
74K10 |
| idZBL:
|
07250669 |
| idMR:
|
MR4134141 |
| DOI:
|
10.21136/AM.2020.0117-19 |
| . |
| Date available:
|
2020-09-07T09:45:43Z |
| Last updated:
|
2022-09-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148340 |
| . |
| Reference:
|
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