Asymptotic behavior of a nonlinear Kirchhoff type equation with spring boundary conditions

被引：4

作者：

Kim, Daewook ^{[1
]}

Jung, Il Hyo ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

Coriolis forcing term; Nonlinear wave equations; Global solution; Faedo-Galerkin approximation; Asymptotic behavior; Spring boundary conditions; WAVE-EQUATION; LOCAL SOLUTIONS;

D O I：

10.1016/j.camwa.2011.08.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the initial-boundary value problem for a nonlinear Kirchhoff type equation with the damping term and spring boundary conditions. We establish the global existence and uniqueness of solutions to this problem in time, and give an example and simulation to illustrate our results. For the proof, we use the Faedo-Galerkin approximate method. Finally, we study the asymptotic behavior of solutions and some of its simulation results. Results of this paper are able to apply industrial parts such as a typical model widely used to represent threads, wires, magnetic tapes, belts, band saws, and so on. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：3004 / 3014

页数：11

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