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math.AP2022★ 2 cited
Phase transition threshold and stability of magnetic skyrmions
Slim Ibrahim, Ikkei Shimizu
We examine the stability of vortex-like configuration of magnetization in magnetic materials, so-called the magnetic skyrmion. These correspond to critical points of the Landau-Lif…
math.AP2022
Refined probabilistic local well-posedness for a cubic Schrödinger half-wave equation
Nicolas Camps, Louise Gassot, Slim Ibrahim
We obtain probabilistic local well-posedness in quasilinear regimes for the Schrödinger half-wave equation with a cubic nonlinearity. We need to use a refined ansatz because of the…