178 citations · 534 across the 17 of their papers we have counts for
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math-ph2009★ 1 cited
Abrikosov Lattice Solutions of the Ginzburg-Landau Equations
T. Tzaneteas, I. M. Sigal
Building on the earlier work of Odeh, Barany, Golubitsky, Turski and Lasher we give a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductiv…
math-ph2009★ 20 cited
The Hartree-von Neumann limit of many body dynamics
I. Anapolitanos, I. M. Sigal
In the mean-field regime, we prove convergence (with explicit bounds) of the many-body von Neumann dynamics with bounded interactions to the Hartree-von Neumann dynamics.