The Dirichlet-Neumann operator for oblique water waves over a submerged thin cylinder and an application
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Publication:829078
DOI10.1134/S1061920821010131zbMath1468.35159OpenAlexW3137557405MaRDI QIDQ829078
Anatolij E. Merzon, M. I. Romero Rodríguez, Peter N. Zhevandrov
Publication date: 5 May 2021
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1061920821010131
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35)
Cites Work
- Trapped modes and resonances for water waves over a slightly perturbed bottom
- Nonstandard characteristics and Maslov's operational method in linear problems concerning unsteady water waves
- Numerical simulation of gravity waves
- Asymptotic expansions and the Maslov canonical opeator in the linear theory of water waves. I: Main constructions and equations for surface gravity waves
- Water waves trapped by thin submerged cylinders: exact solutions
- On the linear theory of gravity waves: the theorem of existence and uniqueness
- TRAPPING OF SURFACE WATER WAVES BY FIXED BODIES IN A CHANNEL
- Integral equations for a class of problems concerning obstacles in waveguides
- Linear Water Waves
- Analyticity of Dirichlet--Neumann Operators on Hölder and Lipschitz Domains
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