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An effective model for boundary vortices in thin-film micromagnetics (2023)
Journal Article
Kurzke, M., & Ignat, R. (2023). An effective model for boundary vortices in thin-film micromagnetics. Mathematical Models and Methods in Applied Sciences, 33(9), 1929-1973. https://doi.org/10.1142/S021820252350046X

Ferromagnetic materials are governed by a variational principle which is nonlocal, nonconvex and multiscale. The main object is given by a unit-length three-dimensional vector field, the magnetization, that corresponds to the stable states of the mic... Read More about An effective model for boundary vortices in thin-film micromagnetics.

The effect of forest dislocations on the evolution of a phase-field model for plastic slip (2018)
Journal Article
Dondl, P., Kurzke, M., & Wojtowytsch, S. (2019). The effect of forest dislocations on the evolution of a phase-field model for plastic slip. Archive for Rational Mechanics and Analysis, 232(1), 65–119. https://doi.org/10.1007/s00205-018-1317-2

We consider the gradient flow evolution of a phase-field model for crystal dislocations in a single slip system in the presence of forest dislocations. The model is based on a Peierls-Nabarro type energy penalizing non-integer slip and elastic stress... Read More about The effect of forest dislocations on the evolution of a phase-field model for plastic slip.