22 citations · 81 across the 33 of their papers we have counts for
8 papers · 1 filter
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…
Pressure anomalies beneath solitary waves with constant vorticity
Eduardo M. Castro, Marcelo V. Flamarion, Roberto Ribeiro-Jr
While some works have investigated the particle trajectories and stagnation points beneath solitary waves with constant vorticity, little is known about the pressure beneath such w…
Numerical stability of solitary waves in flows with constant vorticity for the Euler equations
Eduardo M. Castro, Marcelo V. Flamarion, Roberto Ribeiro-Jr
The study of the Euler equations in flows with constant vorticity has piqued the curiosity of a considerable number of researchers over the years. Much research has been conducted…