3 citations · 8 across the 9 of their papers we have counts for
11 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…
Tetrahedral frame fields via constrained third order symmetric tensors
Dmitry Golovaty, Matthias Kurzke, Jose Alberto Montero +1
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…
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…
The Effect of Forest Dislocations on the Evolution of a Phase-Field Model for Plastic Slip
Patrick W. Dondl, Matthias W. Kurzke, Stephan Wojtowytsch
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 consists of a Peie…
Gross-Pitaevskii vortex motion with critically-scaled inhomogeneities
Matthias Kurzke, Jeremy L. Marzuola, Daniel Spirn
We study the dynamics of vortices in an inhomogeneous Gross-Pitaevskii equation . For a unique scaling re…
Vortex dynamics in the presence of excess energy for the Landau-Lifschitz-Gilbert equation
Matthias Kurzke, Christof Melcher, Roger Moser +1
We study the Landau-Lifshitz-Gilbert equation for the dynamics of a magnetic vortex system. We present a PDE-based method for proving vortex dynamics that does not rely on strong w…
Vortex liquids and the Ginzburg-Landau equation
Matthias Kurzke, Daniel Spirn
We establish vortex dynamics for the time-dependent Ginzburg-Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet…