5 papers
Thresholding Scheme for the Half-Harmonic Map Heat Flow
Kilian Koch, Christof Melcher, Endre Süli
We propose a thresholding scheme for the half-harmonic map heat flow from the flat torus into the unit sphere in , whose iterates ar…
Bubbling analysis of bimeron configurations
Glal Bacho, Christof Melcher
Chiral symmetry breaking in magnetic thin films stabilizes new families of topological solitons that are absent in conventional anisotropic ferromagnets. Beyond the classical chira…
Saddle Point Configurations for Spherical Ferromagnets
Stephen Gustafson, Daniel Meinert, Christof Melcher
We investigate saddle point configurations in spherical ferromagnets with perpendicular anisotropy. These are modeled by a micromagnetic energy functional on the unit sphere that l…
Pathwise Solvability and Bubbling in 2D Stochastic Landau-Lifshitz-Gilbert Equations
Ben Goldys, Chunxi Jiao, Christof Melcher
We investigate the stochastic Landau-Lifshitz-Gilbert (LLG) equation on a periodic 2D domain, driven by infinite-dimensional Gaussian noise in a Sobolev class. We establish strong…
Well-posedness of half-harmonic map heat flows for rough initial data
Kilian Koch, Christof Melcher
We adopt the Koch-Tataru theory for the Navier-Stokes equations, based on Carleson measure estimates, to develop a scaling-critical low-regularity framework for half-harmonic map h…