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math.AP2022
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…
math.AP2022
The Ginzburg-Landau energy with a pinning term oscillating faster than the coherence length
Mickaël Dos Santos, Rémy Rodiac, Etienne Sandier
The aim of this article is to study the magnetic Ginzburg-Landau functional with an oscillating pinning term. We consider here oscillations of the pinning term that are much faster…