带有记忆核的黏弹性方程解的能量衰减估计  

Energy Decay Estimates of Solution for a Viscoelastic Equation with Memory Kernel

作　　者：李娜[1] 蒲志林[1] LI Na;PU Zhilin(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan)

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2019年第2期154-160,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省科技厅应用基础研究项目(2015JY0125)

摘　　要：研究无界区域上带有记忆核的黏弹性方程解的能量衰减问题.证明当方程中的记忆函数满足一定条件时,系统的能量函数呈多项式衰减.证明过程主要依赖于构造合适的辅助函数以及一些积分不等式,结果推广了已有文献中的一些结果.In this paper the energy decay estimate of solution for a viscoelastic equation with memory kernel in unbounded domain is investigated.It is proved that the energy function of system is polynomial decay when some conditions of the memory function of the equation are satisfied.The procedure of proof is completed by constructing appropriated auxiliary function and using integral inequalities.Besides,some results in previous literatures are generalized in this paper.

关 键 词：黏弹性 松弛函数 记忆核 能量估计 

分 类 号：O175.2[理学—数学]