ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR LINEAR EVOLUTIONARY BOUNDARY VALUE PROBLEM OF VISCOELASTIC DAMPED WAVE EQUATION

被引：2

作者：

Berbiche, Mohamed ^{[1
]}

机构：

[1] Univ Med Khider, Dept Math, POB 145, Biskra 07000, Algeria

来源：

MATHEMATICA BOHEMICA | 2020年 / 145卷 / 02期

关键词：

global existence; uniqueness; uniform stabilization; ENERGY DECAY; ELECTROMAGNETIC SYSTEMS; MEMORY; STABILITY; THERMODYNAMICS; STABILIZATION; CONVERGENCE;

D O I：

10.21136/MB.2019.0054-18

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of global in time and uniform decay of weak solutions to the initial-boundary value problem related to the dynamic behavior of evolution equation accounting for rotational inertial forces along with a linear nonlocal frictional damping arises in viscoelastic materials. By constructing appropriate Lyapunov functional, we show the solution converges to the equilibrium state polynomially in the energy space.

引用

页码：205 / 223

页数：19

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