5 citations · 9 across the 8 of their papers we have counts for
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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…
Separation of domain walls with nonlocal interaction and their renormalised energy by -convergence in thin ferromagnetic films
Radu Ignat, Roger Moser
We analyse two variants of a nonconvex variational model from micromagnetics with a nonlocal energy functional, depending on a small parameter . The model gives rise to trans…
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…
Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds
Radu Ignat, Robert L. Jerrard
We study a variational Ginzburg-Landau type model depending on a small parameter for (tangent) vector fields on a -dimensional Riemannian manifold . As $\vare…
Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius . We prove that under a symmetric boundary conditio…
A necessary condition in a De Giorgi type conjecture for elliptic systems in infinite strips
Radu Ignat, Antonin Monteil
Given a bounded Lipschitz domain and a lower semicontinuous function that vanishes on a finite set and tha…