151 citations · 1k across the 37 of their papers we have counts for
41 papers
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…
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…
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.…
Solitons and solitonic vortices in a strip
Amandine Aftalion, Etienne Sandier
We study the ground state of the Gross Pitaveskii energy in a strip, with a phase imprinting condition, motivated by recent experiments on matter waves solitons. We prove that when…
Metamorphoses of the flow past an obstacle of a resonantly-driven bistable polariton fluid
Vincent Hakim, Simon Pigeon, Amandine Aftalion
Motivated by recent experiments, we theoretically analyze the flow past an obstacle of a one-dimensional "quantum fluid of light" which is resonantly driven, and exhibits bistabili…
Optimal speed in Thoroughbred horse racing
Quentin Mercier, Amandine Aftalion
The objective of this work is to provide a mathematical analysis on how a Thoroughbred horse should regulate its speed over the course of a race to optimize performance. Because Th…