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math.AP2008
The energy space for the Gross-Pitaevskii equation with magnetic field
Ayman Kachmar
We study the energy space for the Gross-Pitaevskii equation with magnetic field and non-vanishing conditions at infinity. We provide necessary and sufficient conditions on the magn…
math.AP2008★ 4 cited
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. II
Hassen Aydi, Ayman Kachmar
We study vortex nucleation for minimizers of a Ginzburg-Landau energy with discontinuous constraint. For applied magnetic fields comparable with the first critical field of vortex…