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math-ph2025
Asymmetry of curl eigenfields solving Woltjer's variational problem
Daniel Peralta-Salas, David Perrella, David Pfefferlé
We construct families of rotationally symmetric toroidal domains in for which the eigenfields associated to the first (positive) Ampèrian curl eigenvalue are symmetr…
math-ph2024
Entanglement of vortices in the Ginzburg--Landau equations for superconductors
Alberto Enciso, Daniel Peralta-Salas
In 1988, Nelson proposed that neighboring vortex lines in high-temperature superconductors may become entangled with each other. In this article we construct solutions to the Ginzb…