General stability of memory-type thermoelastic Timoshenko beam acting on shear force

被引：26

作者：

Apalara, Tijani A. ^{[1
]}

机构：

[1] Univ Hafr Al Batin UoHB, Dept Math, Hafar al Batin 31991, Saudi Arabia

来源：

CONTINUUM MECHANICS AND THERMODYNAMICS | 2018年 / 30卷 / 02期

关键词：

Timoshenko; Linear thermoelasticity; General decay; Relaxation function; EXPONENTIAL STABILITY; GLOBAL EXISTENCE; SYSTEMS; DECAY; SPEEDS;

D O I：

10.1007/s00161-017-0601-y

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this paper, we consider a linear thermoelastic Timoshenko system with memory effects where the thermoelastic coupling is acting on shear force under Neumann-Dirichlet-Dirichlet boundary conditions. The same system with fully Dirichlet boundary conditions was considered by Messaoudi and Fareh (Nonlinear Anal TMA 74(18):6895-6906, 2011, Acta Math Sci 33(1):23-40, 2013), but they obtained a general stability result which depends on the speeds of wave propagation. In our case, we obtained a general stability result irrespective of the wave speeds of the system.

引用

页码：291 / 300

页数：10

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