The lack of exponential stability of the hybrid Bresse system

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:436

Article

关键词: Curved beam;    Lack of exponential stability;    Polynomial stability;    Hybrid system;    Tip body;    Hyperbolic problem;   

DOI  :  10.1016/j.jmaa.2015.11.041

来源: Elsevier

【 摘 要 】

In this paper we consider the dissipative Bresse system with an attached hollow tip body that contains granular material, the resulting model being called hybrid system. Our main result is to show that the corresponding model is not exponentially stable. Moreover, we show that the solution decays polynomially to zero as (1+t)(-1/2) when t -> infinity. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free