14 citations · 118 across the 45 of their papers we have counts for
6 papers · 1 filter
The distribution of 3D superconductivity near the second critical field
Marwa Nasrallah, Ayman Kachmar
We study the minimizers of the Ginzburg-Landau energy functional with a constant magnetic field in a three dimensional bounded domain. The functional depends on two positive parame…
The influence of magnetic steps on bulk superconductivity
Wafaa Assaad, Ayman Kachmar
We study the distribution of bulk superconductivity in presence of an applied magnetic field, supposed to be a step function, modeled by the Ginzburg-Landau theory. Our results are…
Tunneling for the Robin Laplacian in smooth planar domains
Bernard Helffer, Ayman Kachmar, Nicolas Raymond
We study the low-lying eigenvalues of the semiclassical Robin Laplacian in a smooth planar domain symmetric with respect to an axis. In the case when the curvature of the boundary…
Diamagnetism versus Robin condition and concentration of ground states
A. Kachmar
We estimate the ground state energy for the magnetic Laplacian with a Robin condition. In a special asymptotic limit, we find that the magnetic field does not contribute to the two…
A new formula for the energy of bulk superconductivity
Ayman Kachmar
The energy of a type II superconductor submitted to an external magnetic field of intensity close to the second critical field is given by the celebrated Abrikosov energy. If the e…
From constant to non-degenerately vanishing magnetic fields in superconductivity
Bernard Helffer, Ayman Kachmar
We explore the relationship between two reference functions arising in the analysis of the Ginzburg-Landau functional. The first function describes the distribution of superconduct…