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一类具弱非线性耗散项粘弹性波方程解的能量衰减估计

ENERGY DECAY OF SOLUTIONS FOR A VISCOELASTIC WAVE EQUATION WITH A WEAK NONLINEAR DISSIPATION
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摘要 通过运用扰动能量方法研究了一类具有弱非线性耗散项粘弹性波方程解的能量衰减性,其中耗散项显依赖于时间t,得到解的衰减率依赖于阻尼的增长速度和t的函数. In this paper, we study decay properties of the solutions for a viscoelastic wave equation with a weak nonlinear dissipative term and source term by using the perturbed energy method and weighted integral inequalities, where dissipative term is dependent on the time t. It is shown that the rate of decay of the solution depends on the speed of growth of damping and on a function of time t.
作者 曹晓敏 姚鹏飞
机构地区 山西大学数学科学学院 中国科学院数学与系统科学研究院系统科学研究所 中国科学院研究生院
出处 《系统科学与数学》 CSCD 北大核心 2012年第11期1386-1396,共11页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(60225003)资助课题
关键词 能量衰减 弱非线性耗散项 粘弹性波方程 Energy decay, weak nonlinear dissipative term, viscoelastic wave equation.
分类号 O175.29 [理学—基础数学]
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参考文献14

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系统科学与数学
2012年 第11期

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