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20182026
most citedOn the return to equilibrium problem for axisymmetric floating structures in shallow water

8 citations · 8 across the 7 of their papers we have counts for

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math.AP2026

Shallow water models for the dynamics of oscillating water columns

Edoardo Bocchi

We investigate the dynamics of an oscillating water column, which is a wave energy converter where water waves interact with a fixed partially immersed structure and an air chamber…

math.AP2025

Global-in-time estimates for the 2D one-phase Muskat problem with contact points

Edoardo Bocchi, Ángel Castro, Francisco Gancedo

In this paper, we study the dynamics of a two-dimensional viscous fluid evolving through a porous medium or a Hele-Shaw cell, driven by gravity and surface tension. A key feature o…

math.AP2023

Asymmetric equilibrium configurations of a body immersed in a 2D laminar flow

Edoardo Bocchi, Filippo Gazzola

We study the equilibrium configurations of a possibly asymmetric fluid-structure-interaction problem. The fluid is confined in a bounded planar channel and is governed by the stati…

math.AP2022

Rigorous thin film approximations of the one-phase unstable Muskat problem

Edoardo Bocchi, Francisco Gancedo

This paper studies the one-phase Muskat problem driven by gravity and surface tension. The regime considered here is unstable with the fluid on top of a dry region. By a novel appr…

math.AP2021

Well-posedness of a nonlinear shallow water model for an oscillating water column with time-dependent air pressure

Edoardo Bocchi, Jiao He, Gastón Vergara-Hermosilla

We propose in this paper a new nonlinear mathematical model of an oscillating water column (OWC). The one-dimensional shallow water equations in the presence of this device is refo…

math.AP2021

Modelling and simulation of a wave energy converter

Edoardo Bocchi, Jiao He, Gaston Vergara-Hermosilla

In this work we present the mathematical model and simulations of a particular wave energy converter, the so-called oscillating water column. In this device, waves governed by the…