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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…