| Autor: |
Freitas, Mirelson M., Vinhote, Mauricio S., Ramos, Anderson J. A., Dos Reis, Cid T. S. |
| Předmět: |
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| Zdroj: |
Applicable Analysis; Oct2024, Vol. 103 Issue 15, p2845-2865, 21p |
| Abstrakt: |
In this paper, the phenomenon of synchronization in nonlinearly coupled thermoelastic waves is investigated. The existence of a finite-dimensional smooth global attractor $ \mathcal {A}_\alpha $ A α is proven in the natural energy space, where α is the coupling parameter. It is also proved that the coupled thermoelastic wave system can be reduced to a single thermoelastic wave when α tends to infinity. Subsequently, the upper-semicontinuity of their attractors is proven as $ \alpha \to \infty $ α → ∞. These results are ultimately employed to establish the synchronization phenomena for coupled thermoelastic waves. To the best of our knowledge, the synchronization of thermoelastic waves has not been considered before. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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