Optimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocities

Autor:	Abdallah, Farah, Chitour, Yacine, Ghader, Mouhammad, Wehbe, Ali
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	In this paper, by means of the Riesz basis approach, we study the stability of a weakly damped system of two second order evolution equations coupled through the velocities. If the fractional order damping becomes viscous and the waves propagate with equal speeds, we prove exponential stability of the system and, otherwise, we establish an optimal polynomial decay rate. Finally, we provide some illustrative examples.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1808.10256 Zobrazit plný text záznamu View this record from Arxiv