On the return to equilibrium problem for axisymmetric floating structures in shallow water

DOI10.1088/1361-6544/ab7788zbMath1435.74020arXiv1901.04023OpenAlexW2910315452MaRDI QIDQ5113440

Edoardo Bocchi

Publication date: 11 June 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04023

zbMATH Keywords

integro-differential equationfluid-structure interactionreturn to equilibriumfloating structuresCummins equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Well-posedness of a nonlinear shallow water model for an oscillating water column with time-dependent air pressure ⋮ Freely floating objects on a fluid governed by the Boussinesq equations

Uses Software

• DLMF
• ddesd

Cites Work

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• Floating Structures in Shallow Water: Local Well-posedness in the Axisymmetric Case
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• The transient motion of a floating body
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