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math.AP2022★ 1 cited
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…
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…