Uniform Decay of Solutions for von Karman Equations of Dynamic Viscoelasticity with Memory

被引：5
|
作者：
Park, Jong Yeoul [1 ]
Kang, Jum Ran [1 ]
机构：
[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea
来源：
ACTA APPLICANDAE MATHEMATICAE | 2010年 / 110卷 / 03期
关键词：
Viscoelasticity; Von Karman system; Boundary dissipation; Exponential decay; Galerkin approximation; Memory term; THERMOELASTIC PLATES; WAVE-EQUATION; BOUNDARY; RATES;
D O I：
10.1007/s10440-009-9520-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the dynamical von Karman equations for viscoelastic plates with nonlinear boundary dissipation. We show the existence of solutions using the Galerkin method and then prove the asymptotic behaviour of the corresponding solutions by choosing suitable Lyapunov functional.
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页码：1461 / 1474
页数：14
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