3 papers
math.AP2023
Dissipation in Onsager's critical classes and energy conservation in with and without boundary
Luigi De Rosa, Marco Inversi
This paper is concerned with the incompressible Euler equations. In Onsager's critical classes we provide explicit formulas for the Duchon-Robert measure in terms of the regulariza…
cs.LG2023
Lagrangian Flow Networks for Conservation Laws
F. Arend Torres, Marcello Massimo Negri, Marco Inversi +2
We introduce Lagrangian Flow Networks (LFlows) for modeling fluid densities and velocities continuously in space and time. By construction, the proposed LFlows satisfy the continui…
math.AP2023
Lagrangian solutions to the transport--Stokes system
Marco Inversi
In this paper we consider the transport--Stokes system, which describes the sedimentation of particles in a viscous fluid in inertialess regime. We show existence of Lagrangian sol…