# Bounded vorticity for the 3D Ginzburg-Landau model and an isoflux problem

@inproceedings{Roman2021BoundedVF, title={Bounded vorticity for the 3D Ginzburg-Landau model and an isoflux problem}, author={Carlos Rom'an and Etienne Sandier and Sylvia Serfaty}, year={2021} }

We consider the full three-dimensional Ginzburg–Landau model of superconductivity with applied magnetic field, in the regime where the intensity of the applied field is close to the “first critical field” Hc1 at which vortex filaments appear, and in the asymptotics of a small inverse Ginzburg–Landau parameter ε. This onset of vorticity is directly related to an “isoflux problem” on curves (finding a curve that maximizes the ratio of a magnetic flux by its length), whose study was initiated in…

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