Optimal decay for a porous elasticity system with memory

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:470

Article

Feng, Baowei¹  Apalara, Tijani A.² 

[1] Southwestern Univ Finance & Econ, Dept Econ Math, Chengdu 611130, Sichuan, Peoples R China

[2] Univ Hafr Al Batin UoHB, Hafar Al Batin, Saudi Arabia

关键词: Porous system;    General decay;    Viscoelastic damping;    Convexity;   

DOI  :  10.1016/j.jmaa.2018.10.052

来源: Elsevier

【 摘 要 】

In this paper, we consider a one-dimensional linear porous system with finite memory effective on the equilibrated stress vector. By assuming minimal conditions on the relaxation function, we establish an optimal explicit and energy decay rate for which exponential and polynomial rates are special cases. This result is new and substantially improves earlier results in the literature. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free