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math.AP2026
Ferronematics: integrality of the limiting interface in the strong coupling regime
Federico Luigi Dipasquale, Yoshihiro Tonegawa
We consider a vectorial energy functional proposed in the physical literature as a simplified model for thin films of ferronematics -- composite materials formed by dispersing magn…
math.AP2026
The formation of gradient-driven singular structures of codimension one and two in two-dimensions: The case study of ferronematics. Part~{II}: Refined structure of the energy-concentration set
Giacomo Canevari, Federico Luigi Dipasquale, Bianca Stroffolini
In this paper, we continue our study, started in~\cite{CDS1}, of a two-dimensional variational model for ferronematics -- composite materials formed by dispersing magnetic nanopart…
math.AP2026
Liftings of Sobolev maps into closed Riemannian manifolds via double coverings and minimal connections relative to planar sets, with an application to ferronematics
Giacomo Canevari, Federico Luigi Dipasquale, Bianca Stroffolini
We consider Sobolev maps from a planar domain into a closed Riemannian manifold and their BV liftings via a double covering of the target. We establish a sharp lower bound on the j…