5 papers
Long-time stability of hierarchical point vortex configurations
Slim Ibrahim, Shengyi Shen
In this paper, we investigate the dynamics and long-time stability of hierarchical configurations in an -point vortex system on and in simply connected domains, w…
Well-posedness and stability of the self-similar profile for a thin-film equation with gravity
Manuel V. Gnann, Slim Ibrahim
We consider the thin-film equation with linear mobility and a stabilizing second-order porous-medium type term modeling gravity. The model admits self-similar solutions, and our go…
Phase transition thresholds and chiral magnetic fields of general degree
Slim Ibrahim, Tatsuya Miura, Carlos Román +1
We study a variational problem for the Landau--Lifshitz energy with Dzyaloshinskii--Moriya interactions arising in 2D micromagnetics, focusing on the Bogomol'nyi regime. We first d…
Two-Point Vortex Confinement in a simply connected domain
Slim Ibrahim, Ruixun Qin, Shengyi Shen
This paper investigates the vortex confinement property of the two-point vortex system in a planar domain. We compute the time over which initial point vortices around a stable sta…
Global perturbation of isolated equivariant chiral skyrmions from the Bogomol'nyi case
Slim Ibrahim, Ikkei Shimizu
Isolated skyrmion solutions to the two-dimensional Landau-Lifshitz equation with Dzyaloshinskii-Moriya interaction, Zeeman term, and easy-plane anisotropy of various strengths are…