20-12-2018. Seminari d'edps i aplicacions, Matthias Kurzke (University of Nottingham) "Global Jacobians and boundary vortices" 15 h. Aula S01. FME-UPC

Abtract:

 In two-dimensional vector fields, topological information can be detected by looking at the Jacobian of the map, which has become an important analytic tool in the theory of Ginzburg-Landau vortices. In models for boundary reactions or boundary vortices, the tangential derivative at the boundary (or boundary Jacobian) plays a similar role. In the talk I will discuss that both Jacobians come from the same distributional quantity (global Jacobian) and I will discuss its stability properties. This has applications in Gamma-convergence results for various models related to ferromagnetic materials.
The results are joint work with Radu Ignat (Toulouse).