Asymptotic behaviour of a semilinear viscoelastic beam model

被引：13

作者：

Fasangová, E

Prüss, J

机构：

[1] Charles Univ, Dept Math Anal, CZ-18600 Prague, Czech Republic

[2] Univ Halle Wittenberg, Fachbereich Math & Informat, D-60120 Halle Saale, Germany

来源：

ARCHIV DER MATHEMATIK | 2001年 / 77卷 / 06期

关键词：

Steady State; Asymptotic Behaviour; Harmonic Analysis; Stationary Problem; Nonlinear Problem;

D O I：

10.1007/PL00000522

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The asymptotic behaviour of a model for a viscoelastic beam with nonlinear load is studied. Under the assumptions that the energy is coercive and the solution set of the stationary problem is discrete, the convergence of the solutions of the dynamical problem to a steady state are shown. To prove this statement, a method known for problems in finite dimensions is combined with results about the corresponding linear problem, energy estimates for the nonlinear problem, and harmonic analysis of vector-valued functions.

引用

页码：488 / 497

页数：10