非线性二阶边界阻尼的粘弹性方程解的能量衰减估计

华东师范大学学报(自然科学版) ›› 2012, Vol. 2012 ›› Issue (5): 63-68.

非线性二阶边界阻尼的粘弹性方程解的能量衰减估计

陆军¹, 张宏伟²

1. 郑州师范学院~~数学系, 郑州 450044;
2. 河南工业大学~~数学系, 郑州 450001

收稿日期:2011-11-01 修回日期:2012-02-01 出版日期:2012-09-25 发布日期:2012-09-29

Energy decay estimation for the nonlinear viscoelastic equation with nonlinear second-order boundary damping

LU Jun ¹, ZHANG Hong-wei ²

1. Department of Mathematics, Zhengzhou Normal University, Zhengzhou 450044, China; 2. Department of Mathematics, Henan University of Technology, Zhengzhou 450001, China

Received:2011-11-01 Revised:2012-02-01 Online:2012-09-25 Published:2012-09-29

摘要/Abstract

摘要： 讨论了具有非线性二阶边界阻尼的粘弹性方程混合问题. 利用\,Nakao\,不等式在阻尼项为一般情况时得到了能量的指数衰减估计; 在阻尼项为多项式时得到了能量的代数衰减估计.

关键词: 能量衰减, 粘弹性方程, 非线性二阶边界阻尼, Nakao\,不等式

Abstract: The exponential decay estimation of the energy for the nonlinear viscoelastic equation with general damped term was obtained by using Nakao's inequality, and the algebra decay estimation of the energy for the equation with polynomial damped term was given by the same inequality.

Key words: energy decay, nonlinear viscoelastic, nonlinear second-order boundary damping equation, Nakao's inequality

中图分类号:

35B40
35L20

陆军, 张宏伟. 非线性二阶边界阻尼的粘弹性方程解的能量衰减估计[J]. 华东师范大学学报(自然科学版), 2012, 2012(5): 63-68.

LU Jun, ZHANG Hong-wei. Energy decay estimation for the nonlinear viscoelastic equation with nonlinear second-order boundary damping[J]. Journal of East China Normal University(Natural Sc, 2012, 2012(5): 63-68.

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