3 papers
math.AP2025
Mountain pass for the Ginzburg-Landau energy in a strip: solitons and solitonic vortices
Amandine Aftalion, Luc Nguyen
Motivated by recent experiments, we study critical points of the Ginzburg-Landau energy in an infinite strip where phase imprinting is applied to half of the domain. We prove that…
math.AP2025
Ginzburg-Landau minimizers with high topological degrees in an annulus
Amandine Aftalion, Rémy Rodiac
Motivated by recent experiments on fermionic rings, we study the asymptotic behaviour of minimizers of the Ginzburg-Landau (GL) energy in an annulus with a Dirichlet data which dep…
math.AP2024
Bifurcating solitonic vortices in a strip
Amandine Aftalion, Philippe Gravejat, Etienne Sandier
The specific geometry of a strip provides connections between solitons and solitonic vortices, which are vortices with a solitonic behaviour in the infinite direction of the strip.…