Pietro Vermicelli

Spacearth Techonology Srl

The near-Earth space environment undergoes daily changes driven by variable conditions in the Sun. Explosive eruptions of energy from the Sun causing minor solar storms on Earth are relatively common and of little consequence. On the contrary, rarely occurring superstorms generate physical changes in the Earth’s upper atmosphere detrimental to sate...

In this paper we study the homogenization of a class of energies concentrated on lines. In dimension $2$ (i.e., in codimension $1$) the problem reduces to the homogenization of partition energies studied by \cite{AB}. There, the key tool is the representation of partitions in terms of $BV$ functions with values in a discrete set. In our general cas...