67 citations · 188 across the 19 of their papers we have counts for
19 papers
Dynamical Clustering and its Limiting Differential Equations
Paul A. Milewski, Esteban G. Tabak
A novel, non-parametric clustering algorithm is developed, based on flows in the space of soft assignments , representing the probability that point belongs to class $…
A classification of mode-1 internal solitary waves in a three-layer fluid
Ricardo Barros, Alex Doak, Wooyoung Choi +1
We explore the bifurcation structure of mode-1 solitary waves in a three-layer fluid confined between two rigid boundaries. A recent study (Lamb, J. Fluid Mech. 2023, 962, A17) pro…
Droplet rebounds off a fluid bath at low Weber numbers
Elvis A. Agüero, Carlos A. Galeano-Rios, Clodoaldo Ragazzo +3
We present a method to simulate non-coalescing impacts and rebounds of droplets onto the free surface of a liquid bath, together with new experimental data, focused on the low-spee…
Lubrication-mediated rebounds off fluid baths
Katie A Phillips, Paul A Milewski
We present herein the derivation of a lubrication-mediated (LM) quasi-potential model for droplet rebounds off deep liquid baths, assuming the presence of a persistent dynamic air…
Modelling two-dimensional droplet rebound off deep fluid baths
Katie A Phillips, Radu Cimpeanu, Paul A Milewski
In order for a droplet to rebound rather than coalesce with a liquid bath, a layer of gas must persist throughout the impact. This gas, typically an air layer acts as a lubricant t…
Time-dependent nonlinear gravity-capillary surface waves with viscous dissipation and wind forcing
Josh Shelton, Paul Milewski, Philippe H. Trinh
We develop a time-dependent conformal method to study the effect of viscosity on steep surface waves. When the effect of surface tension is included, numerical solutions are found…
Resonant triad interactions of gravity waves in cylindrical basins
Matthew Durey, Paul A. Milewski
We present the results of a theoretical investigation into the existence, evolution and excitation of resonant triads of nonlinear free-surface gravity waves confined to a cylinder…
Large mode-2 internal solitary waves in three-layer flows
Alex Doak, Ricardo Barros, Paul A Milewski
In this paper, we investigate mode-2 solitary waves in a three-layer stratified flow model. Localised travelling wave solutions to both the fully nonlinear problem (Euler equations…
Density Fluctuations in Stochastic Kinematic Flows
Jeremy Worsfold, Tim Rogers, Paul Milewski
At the macroscopic scale, many important models of collective motion fall into the class of kinematic flows for which both velocity and diffusion terms depend only on particle dens…
Nonlinear shallow-water waves with vertical odd viscosity
Alex Doak, Guido Baardink, Paul A Milewski +1
The breaking of detailed balance in fluids through Coriolis forces or odd-viscous stresses has profound effects on the dynamics of surface waves. Here we explore both weakly and st…
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…
Capillary-scale solid rebounds: experiments, modelling and simulations
Carlos A. Galeano-Rios, Radu Cimpeanu, Isabelle A. Bauman +3
A millimetre-size superhydrophobic sphere impacting on the free surface of a quiescent bath can be propelled back into the air by capillary effects and dynamic fluid forces, whilst…
Complete absorption of topologically protected waves
Guido Baardink, Gino Cassella, Luke Neville +2
Chiral edge states can transmit energy along imperfect interfaces in a topologically robust and unidirectional manner when protected by bulk-boundary correspondence. However, in co…
On the structure of parasitic gravity-capillary waves in the small surface tension limit
Josh Shelton, Paul Milewski, Philippe H. Trinh
In this paper, we examine the formation of small capillary waves (parasitic ripples) on the surface of steep steadily-travelling gravity waves. Previously, authors have developed a…
Magnetic Nanoparticles in a Nematic Channel: A One-Dimensional Study
Konark Bisht, Varsha Banerjee, Paul Milewski +1
We study a ferromagnetic suspension or a suspension of magnetic nanoparticles in an anisotropic nematic medium, in three different one-dimensional variational settings, ordered in…
Stability of Periodic Travelling Flexural-Gravity Waves in Two Dimensions
Olga Trichtchenko, Paul Milewski, Emilian Parau +1
In this work, we solve the Euler's equations for periodic waves travelling under a sheet of ice using a reformulation introduced in Ablowitz et al. (2006). These waves are referred…
Front Propagation at the Isotropic Nematic Transition Temperature
Apala Majumdar, Paul A. Milewski, Amy Spicer
We study the gradient flow model for the Landau-de Gennes energy functional for nematic liquid crystals at the nematic-isotropic transition temperature on prototype geometries. We…
Dynamics of Gravity-Capillary Solitary Waves in Deep Water
Zhan Wang, Paul A Milewski
The dynamics of solitary gravity-capillary water waves propagating on the surface of a three-dimensional fluid domain is studied numerically. In order to accurately compute complex…
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
Denys Dutykh, Didier Clamond, Paul Milewski +1
After we derive the Serre system of equations of water wave theory from a generalized variational principle, we present some of its structural properties. We also propose a robust…