| Title: |
Stabilization of a locally transmission problems of two strongly-weakly coupled wave systems. |
| Authors: |
Ahmedi, Wafa1 (AUTHOR), Aissa, Akram Ben2 (AUTHOR) akram.benaissa@fsm.rnu.tn |
| Source: |
Asymptotic Analysis. Sep2024, p1-31. 31p. |
| Subject Terms: |
*EXPONENTIAL stability, *WAVE equation, *FREQUENCY stability, *MATHEMATICS, *POLYNOMIALS |
| Abstract: |
In this paper, we embark on a captivating exploration of the stabilization of locally transmitted problems within the realm of two interconnected wave systems. To begin, we wield the formidable Arendt-Batty criteria (Trans. Am. Math. Soc. 306(2) (1988) 837–852) to affirm the resolute stability of our system. Then, with an artful fusion of a frequency domain approach and the multiplier method, we unveil the exquisite phenomenon of exponential stability, a phenomenon that manifests when the waves of the second system synchronize their propagation speeds. In cases where these speeds diverge, our investigation reveals a graceful decay of our system’s energy, elegantly characterized by a polynomial decline at a rate of t − 1 . [ABSTRACT FROM AUTHOR] |
|
Copyright of Asymptotic Analysis is the property of IOS Press and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Academic Search Complete |
