On the problem of time-harmonic water waves in the presence of a freely floating structure

DOI10.1090/S1061-0022-2011-01179-3zbMath1329.76037MaRDI QIDQ3104493

Nikolay Kuznetsov

Publication date: 14 December 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

eigenvaluetrapped modeinverse procedurecoupled spectral problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (10)

The singularity expansion method and near-trapping of linear water waves ⋮ On the coupled time-harmonic motion of deep water and a freely floating body: trapped modes and uniqueness theorems ⋮ A cliffed cape does not trap water waves in the sea of constant depth ⋮ On a cylinder floating freely in oblique waves ⋮ On a cylinder freely floating in oblique waves ⋮ Unique solvability and non-uniqueness in the problem of forward motion of bodies in a two-layer fluid ⋮ On the coupled time-harmonic motion of a freely floating body and water covered by brash ice ⋮ Trapped modes along a periodic array of freely floating obstacles ⋮ Two-dimensional water waves in the presence of a freely floating body: trapped modes and conditions for their absence ⋮ Linearised theory for surface and interfacial waves interacting with freely floating bodies in a two-layer fluid

Cites Work

• Sloshing frequencies
• On the spectrum of the Steklov problem in a domain with a peak
• Passive trapped modes in the water-wave problem for a floating structure
• Eigenfunction expansions for objects floating in an open sea
• An example of non-uniqueness in the two-dimensional linear water wave problem
• Linear Water Waves
• Trapped modes in the water-wave problem for a freely floating structure
• On the motion of floating bodies. I

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