Nonlinear hydroelastic waves traveling in a thin elastic plate floating on a two-layer fluid

DOI10.1016/J.AMC.2015.10.075zbMath1410.74042OpenAlexW2181505463MaRDI QIDQ668881

Juan-Miguel Gracia

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.10.075

zbMATH Keywords

elastic platetwo-layer fluidhomotopy analysis method (HAM)nonlinear progressive waves

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (4)

A mathematical study of a two-layer fluid flow system in the presence of a floating breakwater in front of VLFS ⋮ Nonlinear Hydroelastic Waves Traveling in a Plate in Terms of Plotnikov--Toland's Model ⋮ Nonlinear hydroelastic interaction among a floating elastic plate, water waves, and exponential shear currents ⋮ Nonlinear hydroelastic waves generated due to a floating elastic plate in a current

Uses Software

• BVPh

Cites Work

• Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel
• Water wave diffraction by a bottom-mounted circular cylinder clamped to an elastic plate floating on a two-layer fluid
• Wave scattering by a thin elastic plate floating on a two-layer fluid
• An explicit series approximation to the optimal exercise boundary of American put options
• On the homotopy multiple-variable method and its applications in the interactions of nonlinear gravity waves
• Homotopy analysis of nonlinear progressive waves in deep water
• On the homotopy analysis method for nonlinear problems.
• On the steady-state fully resonant progressive waves in water of finite depth
• The mathematical challenges and modelling of hydroelasticity
• Past, present and impendent hydroelastic challenges in the polar and subpolar seas
• Homotopy Analysis Method in Nonlinear Differential Equations
• Beyond Perturbation
• The interaction of waves with horizontal cylinders in two-layer fluids

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