255 citations · 408 across the 17 of their papers we have counts for
19 papers
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…
Stochastic Landau-Lifshitz-Gilbert equations for frustrated magnets under fluctuating currents
Beniamin Goldys, Chunxi Jiao, Christof Melcher
We examine a stochastic Landau-Lifshitz-Gilbert equation for a frustrated ferromagnet with competing first and second order exchange interactions exposed to deterministic and rando…
Chiral magnetic skyrmions across length scales
Stavros Komineas, Christof Melcher, Stephanos Venakides
The profile and energy of chiral skyrmions, found in magnetic materials with the Dzyaloshinskii-Moriya interaction, can be approximated by formulae obtained through asymptotic anal…
Global weak solutions for the Landau-Lifshitz-Gilbert-Vlasov-Maxwell system coupled via emergent electromagnetic fields
Tvrtko Dorešić, Christof Melcher
Motivated by recent models of current driven magnetization dynamics, we examine the coupling of the Landau-Lifshitz-Gilbert equation and classical electron transport governed by th…
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…
Chiral skyrmions of large radius
Stavros Komineas, Christof Melcher, Stephanos Venakides
We study the structure of an axially symmetric magnetic skyrmion in a ferromagnet with the Dzyaloshinskii-Moriya interaction. We examine the regime of large skyrmions and we identi…