Non-self-conjugate model formulation of the Pekeris boundary problem

The theory of wave processes in layered media developed in classical works [13] is based on the solution of the key boundary problem of hydroacous tic science formulated and solved by Pekeris in [1] for the system: homogeneous fluid layerhomogeneous fluid half space. A characteristic peculiarity of...

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Bibliographic Details
Published in:Doklady earth sciences 2010-10, Vol.434 (2), p.1342-1345
Main Authors: Kasatkin, B. A., Zlobina, N. V.
Format: Article
Language:English
Subjects:
Analysis
Boundaries
Boundary conditions
Boundary layer
Earth and Environmental Science
Earth Sciences
Mathematical models
Oceanology
Waveguides
Online Access:Get full text
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Summary:The theory of wave processes in layered media developed in classical works [13] is based on the solution of the key boundary problem of hydroacous tic science formulated and solved by Pekeris in [1] for the system: homogeneous fluid layerhomogeneous fluid half space. A characteristic peculiarity of the model formulation suggested in [13] is the fact that boundary conditions at the interface waveguidehalf space are formulated as identical conditions of conti nuity by pressure and normal components of the oscil lation velocity with respect to the horizontal coordi nate (local conditions of (p, vz) continuity), while the model formulation appears self conjugate. As a consequence of the assumed model formulation, the solu tion has the form of diverging waves with a singularity O(r1) for the radial component of the oscillation velocity at the symmetry axis in the half space.
ISSN:1028-334X
1531-8354
DOI:10.1134/S1028334X10100119