178 citations · 981 across the 75 of their papers we have counts for
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math-ph2013★ 7 cited
Magnetic Vortices, Abrikosov Lattices and Automorphic Functions
Israel Michael Sigal
We address the macroscopic theory of superconductivity - the Ginzburg-Landau theory. This theory %Macroscopic theory of superconductivity is based on the celebrated Ginzburg - Land…
math-ph2013
On stability of Abrikosov vortex lattices
Israel Michael Sigal, Tim Tzaneteas
The Ginzburg-Landau equations play a key role in superconductivity and particle physics. They inspired many imitations in other areas of physics. These equations have two remarkabl…
nlin.PS2013★ 1 cited
On blowup dynamics in the Keller-Segel model of chemotaxis
S. I. Dejak, D. Egli, P. M. Lushnikov +1
We investigate the (reduced) Keller-Segel equations modeling chemotaxis of bio-organisms. We present a formal derivation and partial rigorous results of the blowup dynamics of solu…