Trapped modes and resonances for water waves over a slightly perturbed bottom

DOI10.1134/S1061920810030052zbMath1290.35208OpenAlexW2106838433MaRDI QIDQ455529

M. I. Romero Rodríguez, Peter N. Zhevandrov

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920810030052

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items

The Dirichlet-Neumann operator for oblique water waves over a submerged thin cylinder and an application ⋮ Trapped modes and scattering for oblique waves in a two-layer fluid ⋮ Scattering and embedded trapped modes for an infinite nonhomogeneous Timoshenko beam ⋮ Trapped modes and resonances for thin horizontal cylinders in a two-layer fluid ⋮ Water waves trapped by thin submerged cylinders: exact solutions

Cites Work

• Joint analyticity and analytic continuation of Dirichlet-Neumann operators on doubly perturbed domains
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• Resonances in one dimension and Fredholm determinants
• Local perturbations of the Schrödinger operator on the axis
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Trapped modes and resonances for water waves over a slightly perturbed bottom