4 citations · 6 across the 4 of their papers we have counts for
5 papers
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…
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…
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint
Ayman Kachmar
This paper is devoted to an analysis of vortex-nucleation for a Ginzburg-Landau functional with discontinuous constraint. This functional has been proposed as a model for vortex-pi…
Limiting jump conditions for Josephson junctions in Ginzburg-Landau theory
Ayman Kachmar
We consider a superconducting/normal/superconducting Josephson junction modeled through the Ginzburg-Landau theory. When the normal material is sufficiently thin and the applied ma…
On the perfect superconducting solution for a generalized Ginzburg-Landau equation
Ayman Kachmar
We study a generalized Ginzburg-Landau equation that models a sample formed of a superconducting/normal junction and which is not submitted to an applied magnetic field. We prove t…