On uniform decay for transmission problem of Kirchhoff type viscoelastic wave equation

被引：0
作者：
Jeong Ja Bae
机构：
[1] Dongeui University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2010年 / 26卷
关键词：
existence of solution; uniform decay; wave equation; boundary value problem; a priori estimates; 35L05; 35L70; 35B40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we consider the large time behavior of solutions to an n-dimensional transmission problem for two Kirchhoff type viscoelastic wave equations, that is, the wave propagation over bodies consisting of two physically different types of materials. One component is a simple elastic part while the other is a viscoelastic component endowed with a long range memory. We show that the dissipation produced by the viscoelastic part is strong enough to produce exponential or polynomial decay of the solution
引用
收藏
页码：1197 / 1206
页数：9
相关论文
共 26 条
[1]  
Jiang S.(1996)A global existence for the Dirichlet problems in nonlinear Diff. Int. Eqs. 9 791-810
[2]  
Munoz Rivera J. E.(2000)-dimensional viscoelasticity Acta Appl. Math. 62 1-21
[3]  
Munoz Rivera J. E.(2002)The transmission problem of viscoelastic waves Math. Meth. Appl. Sci. 25 955-980
[4]  
Oquendo H. P.(2003)Asymptotic behavior and exponential stability for a transmission problem in thermoelasticity Appl. Math. Lett. 16 243-248
[5]  
Marzocchi A.(2003)Positive solutions for a nonlinear nonlocal elliptic transmission problem IMA J. Appl. Math. 68 23-46
[6]  
Naso M. G.(2006)Transmission problem in thermoelasticity with symmetry Elec. J. Diff. Equ. 53 1-16
[7]  
Munoz Rivera J. E.(2002)Nonlinear transmission problem with a dissipative boundary condition of memory type Czechoslovak Math. J. 52 781-795
[8]  
Ma T. F.(2003)On existence of solutions of nondegenerate wave equations of Kirchhoff type Nonlinear Analysis, T. M. A. 54 959-976
[9]  
Munoz Rivera J. E.(2002)Global existence and stability for the wave equation of Kirchhoff type with memory condition at the boundary Nonlinear Analysis, T. M. A. 50 871-884
[10]  
Marzocchi A.(2005)Uniform decay of solution for wave equation of Kirchhoff type with nonlinear boundary damping and memory term Nonlinear Analysis, T. M. A. 61 351-372
123