The Dirichlet-Neumann operator for oblique water waves over a submerged thin cylinder and an application

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

zbMATH Keywords

Laplace equationwater waves

Mathematics Subject Classification ID

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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