4 citations · 9 across the 9 of their papers we have counts for
10 papers
Asymptotic stability of Bloch wall for dispersive Landau-Lifshitz equation
Slim Ibrahim, Christof Melcher, Ikkei Shimizu
We consider the Bloch wall stationary solutions to the dispersive Landau-Lifshitz equation with Dzyaloshinskii-Moriya interaction (DMI). First, we establish a dichotomy for the orb…
Time decay estimates for localized perturbations around a helical state for the Landau-Lifshitz-Gilbert equation
Ikkei Shimizu
We study the dynamics of the Landau--Lifshitz--Gilbert equation with the Dzyaloshinskii--Moriya interaction. The equation admits a family of exact stationary solutions, referred to…
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…
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…
Multi-solitons for the nonlinear Schrödinger equation with repulsive Dirac delta potential
Stephen Gustafson, Takahisa Inui, Ikkei Shimizu
We prove the existence of multi-soliton solutions for the nonlinear Schrödinger equation with repulsive Dirac delta potential and -supercritical focusing nonlinear term. Our m…
Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph
Masaru Hamano, Masahiro Ikeda, Takahisa Inui +1
We consider the nonlinear Schrödinger equations on the star graph with the Kirchhoff boundary and the repulsive Dirac delta boundary at the origin. In the present paper, we show th…
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…
Local well-posedness for the Landau-Lifshitz equation with helicity term
Ikkei Shimizu
We consider the initial value problem for the Landau-Lifshitz equation with helicity term (chiral interaction term), which arises from the Dzyaloshinskii-Moriya interaction. We pro…
On Uniqueness for Schrödinger maps with low regularity large data
Ikkei Shimizu
We prove that the solutions to the initial-value problem for 2-dimensional Schrödinger maps are unique in . For the…
Remarks on local theory for Schrödinger maps near harmonic maps
Ikkei Shimizu
We consider the initial-value problem for the equivariant Schrödinger maps near a family of harmonic maps. We provide some supplemental arguments for the proof of local well-posedn…