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Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (12): 1137-1149.

• 论文 • 上一篇    下一篇

THE ANALYTICAL SOLUTION FOR HELMHOLTZ BOUNDARY PROBLEM IN NON-HORIZONTALLY STRATIFIED DOMAINS

张鹏   

  1. Institute oj Applied Mathematics, Academia Sinica, Beijing
  • 收稿日期:1988-08-22 出版日期:1989-12-18 发布日期:1989-12-18

THE ANALYTICAL SOLUTION FOR HELMHOLTZ BOUNDARY PROBLEM IN NON-HORIZONTALLY STRATIFIED DOMAINS

Zhang Peng   

  1. Institute oj Applied Mathematics, Academia Sinica, Beijing
  • Received:1988-08-22 Online:1989-12-18 Published:1989-12-18

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摘要： 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:
V2H(1)+KjH(1)=0 (j=0,1,…,N-1)
(H(0)-H(1))=δ(S) (δ(S):generalized function)
(H1-Hi+1)=0 (j=0,1,…,N-2)
The analytical solution of the above problem is given in this paper.

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:
V2H(1)+KjH(1)=0 (j=0,1,…,N-1)
(H(0)-H(1))=δ(S) (δ(S):generalized function)
(H1-Hi+1)=0 (j=0,1,…,N-2)
The analytical solution of the above problem is given in this paper.

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