22 citations · 81 across the 34 of their papers we have counts for
35 papers
Particle Trajectories Beneath Fully Nonlinear Waves Generated by Horizontal Seabed Motion
João Vitor P. Poletto, David Andrade, Marcelo V. Flamarion +1
We investigate fully nonlinear water waves and fluid-particle dynamics generated by the horizontal motion of a seabed obstacle with prescribed time-dependent velocity. The governin…
The Kadomtsev-Petviashvili equation in conformal variables for waves over topography
David Andrade, Marcelo V. Flamarion
The conformal mapping approach is a well established technique for solving the Euler equations for potential flows with one spatial dimension. In this work, we extend this framewor…
Spring-mass behavior of solitons under the influence of an external force field within the modified Korteweg-de Vries equation
Marcelo V. Flamarion, Efim Pelinovsky, Ioann Melnikov
We investigate the interaction of solitons with an external periodic field within the framework of the modified Korteweg-de Vries (mKdV) equation. In the case of small perturbation…
Flow Structures Beneath Stationary Waves with Constant Vorticity Over Variable Topography
L. G. Martins, M. V. Flamarion, R. Ribeiro-Jr
The flow structures beneath waves have received significant attention from both theoretical and numerical perspectives. Most studies on this topic assume a flat bottom, leading to…
On the linearity and stability of electrostatic structures based on the Schamel equation
Hans Schamel, Efim Pelinovsky, Marcelo V Flamarion
This paper contributes in the first part to the correct understanding of the linear limit in the Schamel equation (S-equation) from the perspective of structure formation in collis…
Wave evolution within the Cubic Vortical Whitham equation
Marcelo V. Flamarion, Efim Pelinovsky
In this work, we study the evolution of disturbances within the framework of the Cubic Vortical Whitham (CV-Whitham) equation, considering both positive and negative cubic nonlinea…
Soliton dynamics in random fields: The Benjamin-Ono equation framework
Marcelo V. Flamarion, Efim Pelinovsky, Ekaterina Didenkulova
Algebraic soliton interactions with a periodic or quasi-periodic random force are investigated using the Benjamin-Ono equation. The random force is modeled as a Fourier series with…
Dynamics of irregular wave fields in the Schamel equation framework
Marcelo V. Flamarion, Efim Pelinovsky, Ekaterina Didenkulova
The present article is devoted to the study of the dynamics of narrowband wave fields within the non-integrable Schamel equation, which plays an important role in plasma physics, w…
The effect of normal electric fields on the Stokes drift
Luiz P. Palacio, Marcelo V. Flamarion, Tao Gao +1
In periodic wave motion, particles beneath the wave undergo a drift in the direction of wave propagation, a phenomenon known as Stokes drift. While extensive research has been cond…
Flow structure beneath periodic waves with constant vorticity under strong horizontal electric Fields
M. V. Flamarion, E. Kochurin, R. Ribeiro-Jr +1
While several articles have been written on Electrohydrodynamics (EHD) flows or flows with constant vorticity separately, little is known about the extent to which the combined eff…
A forced Boussinesq model with a sponge layer
L. G. Martins, M. V. Flamarion, R. Ribeiro-Jr
The movement of water waves is a topic of interest to researchers from different areas. While their propagation is described by Euler equations, there are instances where simplifie…
Bipolar solitary wave interactions within the Schamel equation
Ekaterina Didenkulova, Efim Pelinovsky, Marcelo V. Flamarion
Pair soliton interactions play a significant role in the dynamics of soliton turbulence. The interaction of solitons with different polarities is particularly crucial in the contex…
Full Euler equations for waves generated by vertical seabed displacements
Joao Vitor Parada Poletto, David Andrade, Marcelo V. Flamarion +1
We present a novel numerical method for simulating the generation and propagation of surface gravity waves by vertical seabed displacements. The cornerstone of our method is the co…
Non-integrable soliton gas: The Schamel equation framework
Marcelo V. Flamarion, Efim Pelinovsky, Ekaterina Didenkulova
Soliton gas or soliton turbulence is a subject of intense studies due to its great importance to optics, hydrodynamics, electricity, chemistry, biology and plasma physics. Usually,…
Flow patterns induced by a moving disturbance in rotational flows within the forced Korteweg-de Vries equation
Marcelo V. Flamarion
Flow structures beneath a moving disturbance along a water free surface in the weakly nonlinear weakly dispersive regime in a sheared channel with finite depth and constant vortici…
Evolution and statistical analysis of random wave fields within the Benjamin-Ono equation
Marcelo V. Flamarion, Efim Pelinovsky
This study investigates the numerical evolution of an initially internal random wave field characterized by a Gaussian spectrum shape using the Benjamin-Ono (BO) equation. The rese…
Interaction of interfacial waves with an external force: The Benjamin-Ono equation framework
Marcelo V. Flamarion, Efim Pelinovsky
This study aims to explore the complex interactions between an internal solitary wave and an external force using the Benjamin-Ono equation as the theoretical framework. The invest…
Investigating overtaking collisions of solitary waves in the Schamel equation
Marcelo V. Flamarion, Efim Pelinovsky, Ekaterina Didenkulova
This article presents a numerical investigation of overtaking collisions between two solitary waves in the context of the Schamel equation. Our study reveals different regimes char…
Interactions of solitons with an external force field: Exploring the Schamel equation framework
Marcelo V. Flamarion, Efim Pelinovsky
This study aims to investigate the interactions of solitons with an external force within the framework of the Schamel equation, both asymptotically and numerically. By utilizing a…
An investigation of the flow structure beneath solitary waves with constant vorticity on a conducting fluid under normal electric fields
Marcelo V. Flamarion, Tao Gao, Roberto Ribeiro-Jr
The motion of an interface separating two fluids under the effect of electric fields is a subject that has picked the attention of researchers from different areas. While there is…
Flow structure beneath periodic waves with constant vorticity under normal electric fields
Marcelo V. Flamarion, Tao Gao, Roberto Ribeiro-Jr +1
Waves with constant vorticity and electrohydrodynamics flows are two topics in fluid dynamics that have attracted much attention from scientists for both the mathematical challenge…
Soliton interactions with an external forcing: the modified Korteweg-de Vries framework
Marcelo V. Flamarion, Efim Pelinovsky
The aim of this work is to study asymptotically and numerically the interaction of solitons with an external forcing with variable speed using the forced modified Korteweg-de Vries…
Solitary wave collisions for Whitham-Boussinesq systems
Marcelo V. Flamarion, Rosa M. Vargas-Magaña
This work concerns soliton-type numerical solutions for two Whitham-Boussinesq-type models. Solitary waves are computed using an iterative Newton-type and continuation methods with…
Solitary wave interactions with a periodic forcing: the extended Korteweg-de Vries framework
Marcelo V. Flamarion, Efim Pelinovsky
The aim of this work is to study numerically the interaction of large amplitude solitary waves with an external periodic forcing using the forced extended Korteweg-de Vries equatio…