From the 1 of 13 linked papers with an AI index.
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Existence of Bulk Vortices in Superconductors with Strong Magnetic Fields
M. Correggi, A. Kachmar
We study the vortex formation in extreme type-II superconductors immersed in strong magnetic fields in the framework of the the Ginzburg-Landau theory. We focus on the regime where…
Semiclassical resonances under local magnetic fields
Pavel Exner, Ayman Kachmar
We study resonances for the semiclassical magnetic Laplacian in the full plane with a compactly supported magnetic field in the framework of semiclassical complex scaling and black…
Asymptotics for the magnetic Dirichlet-to-Neumann eigenvalues in general domains
Bernard Helffer, Ayman Kachmar, Francois Nicoleau
Inspired by a paper by T. Chakradhar, K. Gittins, G. Habib and N. Peyerimhoff, we analyze their conjecture that the ground state energy of the magnetic Dirichlet-to-Neumann operato…
On the Ginzburg-Landau Energy of Corners
Michele Correggi, Emanuela L. Giacomelli, Ayman Kachmar
It is a well known fact that the geometry of a superconducting sample influences the distribution of the surface superconductivity for strong applied magnetic fields. For instance,…