| _version_ | 1867007497931325440 |
|---|---|
| author | Salim A. Messaoudi Ahmed Keddi Mohamed Alahyane |
| author_facet | Salim A. Messaoudi Ahmed Keddi Mohamed Alahyane Salim A. Messaoudi Ahmed Keddi Mohamed Alahyane |
| collection | Wiley Open Access |
| contents | On a Truncated Thermoelastic Timoshenko System With a Dual‐Phase Lag Model Salim A. Messaoudi Ahmed Keddi Mohamed Alahyane Mathematical Methods in the Applied Sciences ABSTRACTIn this work, we consider a one‐dimensional truncated Timoshenko system coupled with a heat equation, where the heat flux is given by the generalized dual‐phase lag model. By using the semigroup theory and some nonclassical differential operators, we establish the well‐posedness of the problem. Then, we use the multiplier method to show that the only one heat control is enough to stabilize the whole system exponentially without imposing the usual equal‐speed assumption or any other stability number. Moreover, to illustrate our theoretical results, we give some numerical tests. Our result seems to be the first of this type. 10.1002/mma.10708 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| doi_str_mv | 10.1002/mma.10708 |
| format | Artículo Open Access |
| id | wiley_oa_10_1002_mma_10708 |
| institution | Wiley Open Access |
| license_str_mv | http://onlinelibrary.wiley.com/termsAndConditions#vor |
| publishDate | 2025 |
| publisher | Wiley |
| record_format | wiley_oa |
| spellingShingle | On a Truncated Thermoelastic Timoshenko System With a Dual‐Phase Lag Model Salim A. Messaoudi Ahmed Keddi Mohamed Alahyane Mathematical Methods in the Applied Sciences On a Truncated Thermoelastic Timoshenko System With a Dual‐Phase Lag Model Salim A. Messaoudi Ahmed Keddi Mohamed Alahyane Mathematical Methods in the Applied Sciences ABSTRACTIn this work, we consider a one‐dimensional truncated Timoshenko system coupled with a heat equation, where the heat flux is given by the generalized dual‐phase lag model. By using the semigroup theory and some nonclassical differential operators, we establish the well‐posedness of the problem. Then, we use the multiplier method to show that the only one heat control is enough to stabilize the whole system exponentially without imposing the usual equal‐speed assumption or any other stability number. Moreover, to illustrate our theoretical results, we give some numerical tests. Our result seems to be the first of this type. 10.1002/mma.10708 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| title | On a Truncated Thermoelastic Timoshenko System With a Dual‐Phase Lag Model |
| topic | Mathematical Methods in the Applied Sciences |
| url | https://onlinelibrary.wiley.com/doi/10.1002/mma.10708 |