6 papers
A PDE perspective on the flat chain conjecture
Andrea Marchese
This survey summarizes recent progress on the flat chain conjecture, which asserts the equivalence between metric currents and flat chains with finite mass in the Euclidean space.…
Variational models of robust optimal transport
Luigi De Masi, Andrea Marchese, Annalisa Massaccesi
This paper introduces two variational formulations for a model of robust optimal transport, that is, the problem of designing optimal transport networks that are resilient to poten…
Cryogenic pressure sensing with an ultrafast Meissner-levitated microrotor
Joel K Jose, Andrea Marchese, Marion Cromb +5
Magnetically levitated spinning rotors are key elements in important technologies such as navigation by gyroscopes, energy storage by flywheels, ultra-high vacuum generation by tur…
A refined Lusin type theorem for gradients
Luigi De Masi, Andrea Marchese
We prove a refined version of the celebrated Lusin type theorem for gradients by Alberti, stating that any Borel vector field coincides with the gradient of a function $g…
On the structure of flat chains with finite mass
Giovanni Alberti, Andrea Marchese
We prove that every flat chain with finite mass in with coefficients in a normed abelian group is the restriction of a normal -current to a Borel set. We dedu…
On the closability of differential operators
Giovanni Alberti, David Bate, Andrea Marchese
We discuss the closability of directional derivative operators with respect to a general Radon measure on ; our main theorem completely characterizes the vectorfi…