非水平分层区域Helmholtz边值问题的解析解 |
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引用本文: | 张鹏.非水平分层区域Helmholtz边值问题的解析解[J].应用数学和力学,1989,10(12):1077-1088. |
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作者姓名: | 张鹏 |
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作者单位: | 中国科学院应用数学研究所 |
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摘 要: | 在(x,y,z)直角坐标系中,N个物性参数不同的区域Dj(j=0,1,…,N-1)充斥着整个空间,这些区域间的分界面是非水平的光滑曲面Sj,j+1下面的边值问题称为非水平分层区域Helmholtz边值问题:?2H(j)+KjH(j)=0(j=0,1,…,N-1)(H(0)-H(1))S0.1=δ(S)(δ(S):广义δ-函数)(H(j)-H(j+1))Sj,j+1=0(j=1,…,N-2)本文给出了此问题的解析解.
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收稿时间: | 1988-08-22 |
The Analytical Solution for Helmholtz Boundary Problem in Non Horizontally Stratified Domains |
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Institution: | Institute of Applied Mathematics, Academic Sinica, Beijing |
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Abstract: | There are N domains Dj(j=0,1,...,N-1) of different physical parameters in the whole space and their interfaces Sj,i+1 are non-horizontally smooth curved surfaces. The following boundary problem is called Hclinholiz boundary problem:?2H(j)+KjH(j)=0 (j=0,1,…,N-1)(H(0)-H(1))S0.1=δ(S) (δ(S):generalized function)(H(1)-H(i+1))Sj,j+1=0 (j=0,1,…,N-2)The analytical solution of the above problem is given in this paper. |
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