148 citations · 156 across the 6 of their papers we have counts for
6 papers
An integrated theoretical, experimental, and numerical study of small-amplitude water waves
Lennon Ó Náraigh, Nicolas Farault, Nicola Young
We introduce an inexpensive experimental setup for analyzing free-surface water waves: a -long tabletop flume made from perspex, driven by a variable-frequency pisto…
Bounds on the Spreading Radius in Droplet Impact: The Two-Dimensional Case
Lennon Ó Náraigh, Nicola Young
We consider the problem of a cylindrical (quasi-two-dimensional) droplet impacting on a hard surface. Cylindrical droplet impact can be engineered in the laboratory, and a theoreti…
Bounds on the Spreading Radius in Droplet Impact: The Viscous Case
Lennon Ó Náraigh, Miguel D. Bustamante
We consider the problem of droplet impact and droplet spreading on a smooth surface in the case of a viscous Newtonian fluid. We revisit the concept of the rim-lamella model, in wh…
A mathematical model and mesh-free numerical method for contact-line motion in lubrication theory
Khang Ee Pang, Lennon Ó Náraigh
We introduce a mathematical model with a mesh-free numerical method to describe contact-line motion in lubrication theory. We show how the model resolves the singularity at the con…
Singular solutions of a modified two-component Camassa-Holm equation
Darryl D. Holm, Lennon Ó Náraigh, Cesare Tronci
The Camassa-Holm equation (CH) is a well known integrable equation describing the velocity dynamics of shallow water waves. This equation exhibits spontaneous emergence of singular…
Emergent singular solutions of non-local density-magnetization equations in one dimension
Darryl D. Holm, Lennon O. Naraigh, Cesare Tronci
We investigate the emergence of singular solutions in a non-local model for a magnetic system. We study a modified Gilbert-type equation for the magnetization vector and find that…