Inertial manifold for the motion of strongly damped nonlinear elastic beams

被引：0
|
作者：
Giselle Bianchi
Alfredo Marzocchi
机构：
[1] Dipartimento di Elettronica per l'Automazione,
[2] Università degli Studi di Brescia,undefined
[3] I-25124 Brescia,undefined
[4] Italy,undefined
[5] Dipartimento di Matematica,undefined
[6] Università Cattolica del S. Cuore,undefined
[7] I-25121 Brescia,undefined
[8] Italy,undefined
来源：
Nonlinear Differential Equations and Applications NoDEA | 1998年 / 5卷
关键词：
Hilbert Space; Vector Space; Numerical Estimate; Elastic Beam; Inertial Manifold;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a strongly damped semilinear equation arising in the theory of elastic beams. We prove the existence of an exponentially attracting finite-dimensional vector space in the Hilbert space of the solutions (a so-called inertial manifold), and provide some numerical estimates of the dimension of the manifold.
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页码：181 / 192
页数：11
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