All Outputs (2)

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.

Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors (2023)
Journal Article
Golovaty, D., Kurzke, M., Montero, J. A., & Spirn, D. (2023). Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors. Journal of Nonlinear Science, 33(3), Article 48. https://doi.org/10.1007/s00332-023-09898-x

Tetrahedral frame fields have applications to certain classes of nematic liquid crystals and frustrated media. We consider the problem of constructing a tetrahedral frame field in three-dimensional domains in which the boundary normal vector is inclu... Read More about Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors.