Vibrations of elastic strings: Mathematical aspects, part two

被引：51
|
作者：
Medeiros, LA [1 ]
Limaco, J
Menezes, SB
机构：
[1] UFRJ, Inst Matemat, Rio De Janeiro, Brazil
[2] UFF, Inst Matemat, Niteroi, RJ, Brazil
[3] UFPA, Dept Matemat, Belem, Para, Brazil
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2002年 / 4卷 / 03期
关键词：
elastic strings; viscosity; asymptotic behavior;
D O I：
10.1023/A:1013151525487
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We consider a mixed problem for the operator (L) over capu(x, t) = partial derivative(2)u/partial derivativet(2) - (a(t) + b(t) integral(alpha(t))(beta(t))(partial derivativeu/partial derivativex)(2)dx)partial derivative(2)u/partial derivativex(2) in a noncylindrical domain (Q) over cap. We obtain local solution in t. When we add a viscosity we obtain a global solution. We also investigate the asymptotic behavior of the energy.
引用
收藏
页码：211 / 263
页数：53
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