9 papers
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…
Solitary waves on flows with an exponentially sheared current and stagnation points
Marcelo V. Flamarion, Roberto Ribeiro-Jr
While several articles have been written on water waves on flows with constant vorticity, little is known about the extent to which a nonconstant vorticity affects the flow structu…
The wave stability of solitary waves over a bump for the full Euler equations
Marcelo V. Flamarion, Roberto Ribeiro-Jr
In this work, we present a numerical study of the wave stability of steady solitary waves over a localised topographic obstacle through the full Euler equations. There are two bran…
Trapped solitary waves and collisions for the forced Korteweg-de Vries equation
M. V. Flamarion, P. A. Milewski, R. Ribeiro-Jr
The aim of this work is to study trapped waves and their collisions between two topographic obstacles for the forced Korteweg-de Vries equation. Numerical simulations show that sol…
Gravity-capillary wave interactions generated by moving disturbances: Euler equations framework
M. V. Flamarion, R. Ribeiro-Jr
The aim of this work is to investigate the interaction of gravity-capillary waves resonantly excited by two moving disturbances along the free surface. The problem is formulated us…
Gravity-capillary flows over obstacles for the fifth-order forced Korteweg-de Vries equation
Marcelo V. Flamarion, Roberto Ribeiro-Jr
The aim of this work is to investigate gravity-capillary waves resonantly excited by two topographic obstacles in a shallow water channel. By considering the weakly nonlinear regim…