1. Water-wave problem for a vertical shell
- Creator:
- Kuznetsov, Nikolay and Maz'ya, Vladimir
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- time-harmonic velocity potential, uniqueness theorem, Helmholtz equation, Neumann’s eigenvalue problem for Laplacian, integral equation method, and weighted Hölder spaces
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public