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非线性二阶边界阻尼的粘弹性方程解的能量衰减估计
  • 期刊名称：华东师范大学学报(自然科学版)
  • 时间：2012.9
  • 页码：63-68
  • 分类：B40[哲学宗教—外国哲学]
  • 作者机构：[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
  • 相关基金：国家自然科学基金（11171311）;河南省基础与前沿项目（102300410118）河南工业大学科研基金重点项目（09XZD009）
  • 相关项目：高阶非线性波动方程
作者： 陆军|张宏伟|
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, energy decay, nonlinear viscoelastic, nonlinear second-order boundarydamping equation, Nakao＇s inequality
中文摘要：

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．

英文摘要：

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.

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高阶非线性波动方程
期刊论文 35
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