Global solution and asymptotic behavior for the variable coefficient beam equation with nonlinear damping

被引：1
|
作者：
Yan, Long [1 ]
Ji, Shuguan [2 ,3 ]
机构：
[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China
[2] NE Normal Univ, Sch Math & Stat, Changchun 130012, Peoples R China
[3] Jilin Univ, Coll Math, Changchun 130012, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 04期
关键词：
global solution; variable coefficient beam equation; nonlinear damping; EXTENSIBLE BEAM; DECAY; EXISTENCE; STABILITY;
D O I：
10.1002/mma.3527
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the initial-boundary value problem for a variable coefficient beam equation with nonlinear damping. Such a model arises from the vertical deflections of a damped extensible elastic inhomogeneous beam whose density depends on time and position. By using the Faedo-Galerkin method and energy method, we obtain the existence and uniqueness of global strong solution. Furthermore, the exponential decay estimate for the total energy is also derived. Copyright (c) 2015 John Wiley & Sons, Ltd.
引用
收藏
页码：876 / 885
页数：10
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