Freely floating objects on a fluid governed by the Boussinesq equations

DOI10.4171/AIHPC/15MaRDI QIDQ2693073

Geoffrey Beck, David Lannes

Publication date: 17 March 2023

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.06947

zbMATH Keywords

Boussinesq equationsreturn to equilibriumfluid structure interactionconvolution kernelnonlocal transport equationdispersive boundary layerBoussinesq-Abbott system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Fractional derivatives and integrals (26A33) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Fractional partial differential equations (35R11) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) Higher-order quasilinear hyperbolic equations (35L77)

Related Items

Well-posedness of a nonlinear shallow water model for an oscillating water column with time-dependent air pressure ⋮ Shallow water waves generated by a floating object: a control theoretical perspective ⋮ Free-boundary problems for wave-structure interactions in shallow-water: DG-ALE description and local subcell correction

Uses Software

• WAMIT

Cites Work

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