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Decay rates for a coupled viscoelastic Lamé system with strong damping

    Baowei Feng   Affiliation
    ; Haiyan Li Affiliation

Abstract

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].

Keyword : Lamé system, energy decay, viscoelastic damping, convexity

How to Cite
Feng, B., & Li, H. (2020). Decay rates for a coupled viscoelastic Lamé system with strong damping. Mathematical Modelling and Analysis, 25(2), 226-240. https://doi.org/10.3846/mma.2020.10383
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Mar 18, 2020
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