التفاصيل البيبلوغرافية
| العنوان: |
Stabilization of a locally transmission problems of two strongly-weakly coupled wave systems. |
| المؤلفون: |
Ahmedi, Wafa1 (AUTHOR), Aissa, Akram Ben2 (AUTHOR) akram.benaissa@fsm.rnu.tn |
| المصدر: |
Asymptotic Analysis. Sep2024, p1-31. 31p. |
| مصطلحات موضوعية: |
*EXPONENTIAL stability, *WAVE equation, *FREQUENCY stability, *MATHEMATICS, *POLYNOMIALS |
| مستخلص: |
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] |
| قاعدة البيانات: |
Academic Search Index |