Premium
Water waves trapped by thin submerged cylinders in a two‐layer fluid: Discrete eigenvalue
Author(s) -
Romero Rodríguez M. I.,
Zhevandrov P.
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5130
Subject(s) - cylinder , mathematics , eigenvalues and eigenvectors , mathematical analysis , series (stratigraphy) , laplace transform , convergent series , flow (mathematics) , geometry , thin layer , mechanics , layer (electronics) , physics , geology , paleontology , quantum mechanics , power series , chemistry , organic chemistry
Exact solutions of the linear water‐wave problem describing oblique water waves trapped by a submerged horizontal cylinder of small (but otherwise fairly arbitrary) cross‐section in a two‐layer fluid are constructed in the form of convergent series in powers of the small parameter characterising the “thinness” of the cylinder. The terms of this series are expressed through the solutions of the exterior Neumann problem for the Laplace equation describing the flow of unbounded fluid past the cylinder.