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math.AP2025
Partial regularity for parabolic systems of double phase type
Jihoon Ok, Giovanni Scilla, Bianca Stroffolini
We study partial regularity for nondegenerate parabolic systems of double phase type, where the growth function is given by , , with $\tfrac{2n}{…
math.AP2025
The formation of gradient-driven singular structures of codimension one and two in two-dimensions: The case study of ferronematics. Part~I: Energy estimates and compactness results
Giacomo Canevari, Federico Luigi Dipasquale, Bianca Stroffolini
We study a two-dimensional variational model for ferronematics -- composite materials formed by dispersing magnetic nanoparticles into a liquid crystal matrix. The model features t…