113 citations · 784 across the 51 of their papers we have counts for
54 papers
Complex singularities for Burgers' equation with piecewise-continuous initial conditions
Jacob C. Gentner, Michael C. Dallaston, Scott W. McCue
There is a body of research devoted to understanding how complex singularities of solutions of nonlinear partial differential equations (pdes) spontaneously emerge at and p…
Numerical simulations and universal saturation profiles for viscous fingering patterns in Hele-Shaw flow
Irio M. Coutinho, Liam C. Morrow, Scott W. McCue
Hele-Shaw flows with an interface are known to give rise to complex pattern formation, whereby the Saffman-Taylor instability triggers a viscous fingering process accompanied by ti…
Small-time asymptotics and the emergence of complex singularities for the KdV equation
Scott W. McCue, Christopher J. Lustri, Daniel J. VandenHeuvel +3
While real-valued solutions of the Korteweg--de Vries (KdV) equation have been studied extensively over the past 50 years, much less attention has been devoted to solution behaviou…
Self-similar rupture of thin films of power-law fluid
Michael C Dallaston, Steven A Kedda, Scott W McCue
Models that describe Newtonian liquid films evolving due to the competing effects of surface tension and attractive intermolecular or van der Waals forces are known to rupture in f…
Thin filaments in Hele-Shaw cells
Nitay Ben-Shachar, Michael C. Dallaston, Scott W. McCue
Using a recently derived filament model, the stability of fluid filaments in Hele-Shaw cells, driven by a constant pressure gradient, is studied. It is found that thin circular fil…
Computing sessile droplet shapes on arbitrary surfaces with a new pairwise force smoothed particle hydrodynamics model
Riley M Whebell, Timothy J Moroney, Ian W Turner +2
The study of the shape of droplets on surfaces is an important problem in the physics of fluids and has applications in multiple industries, from agrichemical spraying to microflui…