Water-wave problem for a vertical shell

Nikolai G. Kuznecov; Vladimir G. Maz'ya

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 2, page 411-420
  • ISSN: 0862-7959

Abstract

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The uniqueness theorem is proved for the linearized problem describing radiation and scattering of time-harmonic water waves by a vertical shell having an arbitrary horizontal cross-section. The uniqueness holds for all frequencies, and various locations of the shell are possible: surface-piercing, totally immersed and bottom-standing. A version of integral equation technique is outlined for finding a solution.

How to cite

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Kuznecov, Nikolai G., and Maz'ya, Vladimir G.. "Water-wave problem for a vertical shell." Mathematica Bohemica 126.2 (2001): 411-420. <http://eudml.org/doc/248858>.

@article{Kuznecov2001,
abstract = {The uniqueness theorem is proved for the linearized problem describing radiation and scattering of time-harmonic water waves by a vertical shell having an arbitrary horizontal cross-section. The uniqueness holds for all frequencies, and various locations of the shell are possible: surface-piercing, totally immersed and bottom-standing. A version of integral equation technique is outlined for finding a solution.},
author = {Kuznecov, Nikolai G., Maz'ya, Vladimir G.},
journal = {Mathematica Bohemica},
keywords = {time-harmonic velocity potential; uniqueness theorem; Helmholtz equation; Neumann’s eigenvalue problem for Laplacian; integral equation method; weighted Hölder spaces; velocity potential; uniqueness; Neumann’s eigenvalue problem; Laplacian; linearized problem; radiation; scattering; time-harmonic water wave; vertical shell; velocity potential; uniqueness; Helmholtz equation; Neumann's eigenvalue problem; integral equation method; weighted Hölder spaces; Laplacian; linearized problem; radiation; scattering; time-harmonic water wave; vertical shell},
language = {eng},
number = {2},
pages = {411-420},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Water-wave problem for a vertical shell},
url = {http://eudml.org/doc/248858},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Kuznecov, Nikolai G.
AU - Maz'ya, Vladimir G.
TI - Water-wave problem for a vertical shell
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 2
SP - 411
EP - 420
AB - The uniqueness theorem is proved for the linearized problem describing radiation and scattering of time-harmonic water waves by a vertical shell having an arbitrary horizontal cross-section. The uniqueness holds for all frequencies, and various locations of the shell are possible: surface-piercing, totally immersed and bottom-standing. A version of integral equation technique is outlined for finding a solution.
LA - eng
KW - time-harmonic velocity potential; uniqueness theorem; Helmholtz equation; Neumann’s eigenvalue problem for Laplacian; integral equation method; weighted Hölder spaces; velocity potential; uniqueness; Neumann’s eigenvalue problem; Laplacian; linearized problem; radiation; scattering; time-harmonic water wave; vertical shell; velocity potential; uniqueness; Helmholtz equation; Neumann's eigenvalue problem; integral equation method; weighted Hölder spaces; Laplacian; linearized problem; radiation; scattering; time-harmonic water wave; vertical shell
UR - http://eudml.org/doc/248858
ER -

References

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