Decay rates for a coupled viscoelastic Lamé system with strong damping

Mathematical Modelling and Analysis

Haiyan Li¹  Baowei Feng² 

[1] College of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China;Department of Economic Mathematics, Southwestern University of Finance and Economics Chengdu 611130, China;

关键词: Lamé system;    energy decay;    viscoelastic damping;    convexity;   

DOI  :  10.3846/mma.2020.10383

来源: DOAJ

【 摘 要 】

In [6] Beniani, Taouaf and Benaissa studied a coupled viscoelastic Lamé system with strong dampings and established a general decay result. In this paper, we continue to study the system. Assuming gi0(t) ≤−ξi(t)Hi(gi(t)), i = 1,2, we establish an explicit and general decay result, which is optimal, to the system. This result improves earlier results in [6].

【 授权许可】

Unknown