Decay rates of solutions to a von Karman system for viscoelastic plates with memory

被引：51
|
作者：
Rivera, JEM
Menzala, GP
机构：
[1] Natl Lab Sci Computat, Dept Res & Dev, BR-22290 Rio De Janeiro, Brazil
[2] Univ Fed Rio de Janeiro, Rio De Janeiro, Brazil
来源：
QUARTERLY OF APPLIED MATHEMATICS | 1999年 / 57卷 / 01期
关键词：
viscoelasticity; exponential decay; initial boundary value problems;
D O I：
10.1090/qam/1672191
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the dynamical von Karman equations for viscoelastic plates under the presence of a long-range memory. We find uniform rates of decay tin time) of the energy, provided that suitable assumptions on the relaxation functions are given. Namely, if the relaxation decays exponentially, then the first-order energy also decays exponentially. When the relaxation g satisfies [GRAPHICS] then the energy decays as 1/(1+t)(p). A new Liapunov functional is built for this problem.
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页码：181 / 200
页数：20
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