| 具强阻尼黏弹性波动方程组解的指数衰退 |
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| 引用本文： | 高云柱,高文杰.具强阻尼黏弹性波动方程组解的指数衰退[J].吉林大学学报(理学版),2010,48(3):347-352. |
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| 作者姓名： | 高云柱 高文杰 |
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| 作者单位： | 1. 吉林大学 数学研究所, 长春 130012,2. 北华大学 数学学院, 吉林 吉林 132013 |
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| 基金项目： | 国家自然科学基金，吉林大学"985工程"项目 |
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| 摘 要： | 研究一类包含强阻尼项的非线性波动方程组的初边值问题.根据方程组的特点,构造了能量函数,研究能量函数的性质,并利用所得结果、积分估计及Poincaré不等式,得到了在一定条件下该问题解的指数衰退性质.
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| 关 键 词： | 指数衰退 黏弹性 强阻尼 波动方程组 |
| 收稿时间： | 2009-11-13 |
Exponential Decay of Solutions of a Viscoelastic Wave Equation with Strong Damping |
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| GAO Yun-zhu,GAO Wen-jie.Exponential Decay of Solutions of a Viscoelastic Wave Equation with Strong Damping[J].Journal of Jilin University: Sci Ed,2010,48(3):347-352. |
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| Authors: | GAO Yun-zhu GAO Wen-jie |
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| Institution: | 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. College of Mathematics, Beihua University, Jilin 132013, Jilin Province, China |
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| Abstract: | The aim of this paper is to investigated the initial boundary value problem for a system of nonlinear wave equations involving strong damping terms. The authors constructed an energy functional and studied the properties of the functional in view of the character of the system. With the above results,integral estimates and Poincaré’s inequality, an exponentially decay result of the solutions to the problem was obtained under suitable assumptions. |
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| Keywords: | exponential decay viscoelastic strong damping wave systems |
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