| 具耗散的声波方程 |
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| 引用本文： | 屈长征,耿堤.具耗散的声波方程[J].兰州大学学报(自然科学版),1994,30(1):5-10. |
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| 作者姓名： | 屈长征 耿堤 |
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| 作者单位： | 兰州大学数学系 |
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| 摘 要： | 本文考虑一类描述在某种介质中传播且具耗散的声波方程的初值问题，利用Ｇａｌｅｒｋｉｎ方法结合能量估计在初值及非齐次项满足适当的条件下，证明了问题存在唯一整体解。最后还讨论了当非齐次项是周期函数时，所述问题周期解的存在性。
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| 关 键 词： | 耗散 初边值问题 声波方程 |
Acoustic Wave Equation with Dispersion |
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| Qu Changzheng ,Geng Di.Acoustic Wave Equation with Dispersion[J].Journal of Lanzhou University(Natural Science),1994,30(1):5-10. |
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| Authors: | Qu Changzheng Geng Di |
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| Abstract: | This paper discusses the initial and boundary value problem for an equation that describes acoustic waves in a medium with dispersion. By using the Galerkin's methods and the estimate of energy, we have proved that there exists a unique global solution to the problem when the initial value and nonhomogeneous term satisfy suitable conditions. At the end of the paper we have proved that there exists a periodic solution to the problem when the nonhomogenous term is a periodic solution. |
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| Keywords: | Galerkin's method energy integrals periodic solution acoustic wave equation global solution |
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