2 citations · 3 across the 4 of their papers we have counts for
6 papers
Minimizers for boundary reactions: renormalized energy, location of singularities, and applications
Xavier Cabre, Neus Consul, Matthias Kurzke
The Casten-Holland and Matano theorem for interior reactions states that no nonconstant stable solutions exist in convex domains of under zero Neumann boundary c…
Boundary vortices in the presence of a magnetic field
Khalida Awashra, Matthias Kurzke
We study the behaviour of the magnetization vector field in a thin ferromagnetic film in the presence of an external in-plane constant magnetic field. We work on a specific thin-fi…
An effective model for boundary vortices in thin-film micromagnetics
Radu Ignat, Matthias Kurzke
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 fiel…
Global Jacobian and -convergence in a two-dimensional Ginzburg-Landau model for boundary vortices
Radu Ignat, Matthias Kurzke
In the theory of Ginzburg-Landau vortices, the Jacobian plays a crucial role for the detection of topological singularities. We introduce a related distributional quantity, ca…
Global uniform estimate for the modulus of Ginzburg-Landau vortexless solutions with asymptotically infinite boundary energy
Radu Ignat, Matthias Kurzke, Xavier Lamy
For , let be a solution of the Ginzburg-Landau system …
The correlation coefficient for vortices in the plane
Matthias Kurzke
For point vortices in the plane, we consider the correlation coefficient of Ovchinnikov and Sigal. Generalising a result by Esposito, we show that it vanishes for all vortex equili…