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math-ph2017★ 1 cited
On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations
Li Chen, Panayotis Smyrnelis, Israel Michael Sigal
We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations of superconductivity, with multiple magnetic flux quanta per a fundamental cell. We also r…
math-ph2011★ 2 cited
On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations
T. Tzaneteas, I. M. Sigal
Building on earlier work, we have given in our paper in Contemporary Mathematics 535, 195-213, 2011 (referred here as [TS]) a proof of existence of Abrikosov vortex lattices in the…