EXPONENTIAL DECAY IN ONE-DIMENSIONAL POROUS DISSIPATION ELASTICITY

被引：46

作者：

Apalara, Tijani A. ^{[1
]}

机构：

[1] Univ Hafr Al Batin UoHB, Math Dept, Off King Abdul Aziz Rd,Route 50, Hafar al Batin 31991, Saudi Arabia

来源：

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS | 2017年 / 70卷 / 04期

关键词：

TIMOSHENKO SYSTEM; MEMORY TYPE; VOIDS; THERMOELASTICITY; MICROTEMPERATURES; STABILIZATION; SOLIDS;

D O I：

10.1093/qjmam/hbx012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Of concern in this work is a linear one-dimensional porous-elastic system with dissipation only on the porous equation. It is well-known in the literature that the system with such dissipation is not exponentially stable unless another damping mechanisms are added to the system. Contrarily, in this article, we prove that the dissipation is strong enough to exponentially stabilize the system, provided the wave speeds are equal. The result is new and opens more research areas into porous-elastic system.

引用

页码：363 / 372

页数：10