3 papers
math.AP2026
Sharp upper bound for a branched transport problem coming from Ginzburg-Landau models
Alessandro Cosenza, Michael Goldman, Felix Otto
We consider a branched transport type problem with weakly imposed boundary conditions, which can be seen as a blown-up version of a reduced model for type-I superconductors in the…
math.AP2025
New dimensional bounds for a branched transport problem
Alessandro Cosenza, Michael Goldman, Melanie Koser
We consider a branched transport problem with weakly imposed boundary conditions. This problem arises as a reduced model for pattern formation in type-I superconductors. For this m…
math.AP2025
A -convergence result for 2D type-I superconductors
Alessandro Cosenza, Michael Goldman, Alessandro Zilio
We consider a 2D non-standard Modica-Mortola type functional. This functional arises from the Ginzburg-Landau theory of type-I superconductors in the case of an infinitely long sam…