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math.AP2026
Dependence of the nonlinear Schr{ö}dinger flow upon the nonlinearity
Rémi Carles, Quentin Chauleur, Guillaume Ferriere
We consider the defocusing nonlinear Schr{ö}dinger equation in the energy-subcritical case, and investigate the dependence of the solution upon the power of the nonlinearity. Speci…
math.AP2024
Existence and Uniqueness of Domain Walls for Notched Ferromagnetic Nanowires
Raphaël Côte, Clémentine Courtès, Guillaume Ferriere +2
In this article, we investigate a simple model of notched ferromagnetic nanowires using tools from calculus of variations and critical point theory. Specifically, we focus on the c…
math.AP2024
On the stationary solution of the Landau-Lifshitz-Gilbert equation on a nanowire with constant external magnetic field
Guillaume Ferriere
We consider an infinite ferromagnetic nanowire, with an energy functional with easy-axis in the direction and a constant external magnetic field along…