| 声波反射的形式理论 |
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| 引用本文： | 陈明,仇庆久.声波反射的形式理论[J].南京大学学报(自然科学版),1996,32(4):549-555. |
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| 作者姓名： | 陈明 仇庆久 |
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| 作者单位： | 东南大学无线电工程系移动通信国家重点实验室(陈明)，南京大学数学系(仇庆久) |
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| 摘 要： | 运用非线性几何光学技巧将二维等熵可压缩流的初边值问题简化为两个解藕的Ｂｕｒｇｅｒ方程的初边值问题。通过解该Ｂｕｒｇｅｒ方程的初边值问题，我们可以得到原方程的一个形式解。该形式解含一个高频小振幅入射声波以及该入射声波在边界上的反谢声波
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| 关 键 词： | 非线性几何光学，入射及反射声波，初边值问题 |
THE FORMAL THEORY FOR THE REFLECTION OF SOUND WAVES |
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| Chen Ming,Qiu Qingjiu.THE FORMAL THEORY FOR THE REFLECTION OF SOUND WAVES[J].Journal of Nanjing University: Nat Sci Ed,1996,32(4):549-555. |
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| Authors: | Chen Ming Qiu Qingjiu |
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| Institution: | Chen Ming 1) Qiu Qingjiu 2) |
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| Abstract: | pplying the method of weakly nonlinear geometrical optics, we simplify the initial boundary problem of the 2 D compressible isentropic fluid equations to that of two decoupled Burgers equations, through which we obtain a formal solution. The formal solution consits of an incident and a reflective sound wave with small amplitude and high frequency. |
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| Keywords: | nonlinear geometrical optics incident and reflective sound wave initial boundary problem |
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