3 papers
math.AP2026
Selection of the angular speed of rotating waves in segregated reaction-diffusion systems with asymmetric competition
Giuseppe Spadaro, Gianmaria Verzini, Alessandro Zilio
We investigate the existence of segregated rotating waves, arising in the singular limit of competition-diffusion systems of the type \[ \partial_t u_i -\partial_{xx} u_i = f(u_i)-…
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…
math.AP2025
A field-road system with a rectifiable set
Matthieu Bonnivard, Romain Ducasse, Antoine Lemenant +1
The aim of this paper is to define a field-road system in 2D where the road is a merely 1D-rectifiable set. For this purpose we introduce a general setting in order to define a par…