3 papers
math.CA2017
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…
math.PR2017
Strong solvability of regularized stochastic Landau-Lifshitz-Gilbert equation
Olga Chugreeva, Christof Melcher
We examine a stochastic Landau-Lifshitz-Gilbert equation based on an exchange energy functional containing second-order derivatives of the unknown field. Such regularizations are f…
math.AP2011
Global Solvability of the Cauchy Problem for the Landau-Lifshitz-Gilbert Equation in Higher Dimensions
Christof Melcher
We prove existence, uniqueness and asymptotics of global smooth solutions for the Landau-Lifshitz-Gilbert equation in dimension , valid under a smallness condition of init…