3 papers
math.AP2025
Gamma-Convergence of Higher-Order Phase Transition Models
Denis Brazke, Gianna Götzmann, Hans Knüpfer
We investigate the asymptotic behavior as of singularly perturbed phase transition models of order , given by \begin{align} G_\varepsilon^{λ,n}[u] :=…
math.AP2020
-limit for two-dimensional charged magnetic zigzag domain walls
Hans Knüpfer, Wenhui Shi
Charged domain walls are a type of domain walls in thin ferromagnetic films which appear due to global topological constraints. The non-dimensionalized micromagnetic energy for a u…
math.OC2018
Note on crystallization for alternating particle chains
Laurent Bétermin, Hans Knüpfer, Florian Nolte
We investigate one-dimensional periodic chains of alternate type of particles interacting through mirror symmetric potentials. The optimality of the equidistant configuration at fi…