50 citations · 194 across the 21 of their papers we have counts for
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math.AP2016
Leapfrogging vortex rings for the three dimensional Gross-Pitaevskii equation
Robert L. Jerrard, Didier Smets
Leapfrogging motion of vortex rings sharing the same axis of symmetry was first predicted by Helmholtz in his famous work on the Euler equation for incompressible fluids. Its justi…
math.AP2016
Nearly Parallel Vortex Filaments in the 3D Ginzburg-Landau Equations
Andres Contreras, Robert L. Jerrard
We introduce a framework to study the occurrence of vortex filament concentration in Ginzburg-Landau theory. We derive a functional that describes the free-energy of a collect…
math.AP2016★ 50 cited
On the vortex filament conjecture for Euler flows
Robert L. Jerrard, Christian Seis
In this paper, we study the evolution of a vortex filament in an incompressible ideal fluid. Under the assumption that the vorticity is concentrated along a smooth curve in $\mathb…