Energy decay rates for the elasticity system with structural damping in the Fourier space

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:452

Article

Wu, Mijing¹  Chai, Shugen¹  Li, Shengjia¹ 

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

关键词: Energy decay rate;    Elasticity system;    Structural damping;    Fourier transform;    Multiplier;   

DOI  :  10.1016/j.jmaa.2017.03.017

来源: Elsevier

【 摘 要 】

This paper deals with a Cauchy problem for the elasticity system with a structural damping. The decay rates of the total energy of the system are presented by applying the Fourier transform and multiplier in the Fourier space. Furthermore, almost optimal decay estimates of the total energy are obtained based on the Haraux-Komornik inequality. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free