5 citations · 5 across the 4 of their papers we have counts for
4 papers
Existence and strong-field asymptotics of skyrmions in a fourth-order model of frustrated ferromagnets
Xinye Li
We study a fourth-order variational model for two-dimensional frustrated ferromagnets with competing exchange interactions and an applied magnetic field of strength . For ever…
Well-posedness and stability for a class of fourth-order nonlinear parabolic equations
Xinye Li, Christof Melcher
In this paper we examine well-posedness for a class of fourth-order nonlinear parabolic equation , where satisfies a cubic g…
Lattice solutions in a Ginzburg-Landau model for a chiral magnet
Xinye Li, Christof Melcher
We examine micromagnetic pattern formation in chiral magnets, driven by the competition of Heisenberg exchange, Dzyaloshinskii-Moriya interaction, easy-plane anisotropy and thermod…
Stability of axisymmetric chiral skyrmions
Xinye Li, Christof Melcher
We examine topological solitons in a minimal variational model for a chiral magnet, so-called chiral skyrmions. In the regime of large background fields, we prove linear stability…