146 citations · 281 across the 17 of their papers we have counts for
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math.AP2013
Cascade of minimizers for a nonlocal isoperimetric problem in thin domains
Massimiliano Morini, Peter Sternberg
For $Ω_\e=(0,\e)\times (0,1)$ a thin rectangle, we consider minimization of the two-dimensional nonlocal isoperimetric problem given by \[ \inf_u E^γ_{Ω_\e}(u)\] where \[ E^γ_{Ω_\e…
math.AP2013★ 11 cited
Kinematic and dynamic vortices in a thin film driven by an applied current and magnetic field
Lydia Peres Hari, Jacob Rubinstein, Peter Sternberg
Using a Ginzburg-Landau model, we study the vortex behavior of a rectangular thin film superconductor subjected to an applied current fed into a portion of the sides and an applied…