具弱非线性耗散的Bresse系统解的能量衰减  

Energy Decay of Solutions for Bresse System with a Weak Non-linear Dissipation

作　　者：呼青英[1] 张宏伟[1] 

机构地区：[1]河南工业大学理学院数学系,郑州450001

出　　处：《应用泛函分析学报》2016年第1期84-92,共9页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(11171311)

摘　　要：本文研究了一维有界区域上三个波动方程都具有非线性阻尼的Bresse系统解的能量衰减估计.利用乘子法,通过一个加权积分不等式,证明了该Bresse系统解的能量衰减估计,这类非线性阻尼在原点有多项式增长阶,但不要求等速波传播条件.In this paper, we study the Bresse system in a one-dimensional bounded domain with nonlinear damping acting in all the three wave equations. We prove the energy decay of solution for the Bresse system with a weak non-linear dissipation with polynomial growth at the origin, without the condition of equal-speed wave propaga- tion, by the multiplier method based on a weighted integral inequalities.

关 键 词：Bresse系统 能量衰减 Komornik不等式 

分 类 号：O175.29[理学—数学]