12 citations · 13 across the 3 of their papers we have counts for
3 papers
math.AP2016
The geometry of the triple junction between three fluids in equilibrium
Ivan Blank, Alan Elcrat, Ray Treinen
We conduct an analysis of the blow up at the triple junction of three fluids in equilibrium. Energy minimizers have been shown to exist in the class of functions of bounded variati…
physics.flu-dyn2015★ 12 cited
Linear Stability of Hill's Vortex to Axisymmetric Perturbations
Bartosz Protas, Alan Elcrat
We consider the linear stability of Hill's vortex with respect to axisymmetric perturbations. Given that Hill's vortex is a solution of a free-boundary problem, this stability anal…
physics.flu-dyn2013★ 1 cited
A Framework for Linear Stability Analysis of Finite-Area Vortices
Alan Elcrat, Bartosz Protas
In this investigation we revisit the question of the linear stability analysis of 2D steady Euler flows characterized by the presence of compact regions with constant vorticity emb…