13 citations · 14 across the 2 of their papers we have counts for
4 papers · 1 filter
Stability of similarity solutions of viscous thread pinch-off
Michael C. Dallaston, Chengxi Zhao, James E. Sprittles +1
In this paper we compute the linear stability of similarity solutions of the breakup of viscous liquid threads, in which the viscosity and inertia of the liquid are in balance with…
A review of one-phase Hele-Shaw flows and a level-set method for non-standard configurations
Liam C. Morrow, Timothy J. Moroney, Michael C. Dallaston +1
The classical model for studying one-phase Hele-Shaw flows is based on a highly nonlinear moving boundary problem with the fluid velocity related to pressure gradients via a Darcy-…
Matched asymptotic analysis of self-similar blow-up profiles of the thin film equation
Michael C. Dallaston
We consider asymptotically self-similar blow-up profiles of the thin film equation consisting of a stabilising fourth order and destabilising second order term. It has previously b…
Saffman-Taylor fingers with kinetic undercooling
Bennett P. J. Gardiner, Scott W. McCue, Michael C. Dallaston +1
The mathematical model of a steadily propagating Saffman-Taylor finger in a Hele-Shaw channel has applications to two-dimensional interacting streamer discharges which are aligned…