7 citations · 10 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Lagrangian stability for a system of non-local continuity equations under Osgood condition
Marco Inversi, Giorgio Stefani
We extend known existence and uniqueness results of weak measure solutions for systems of non-local continuity equations beyond the usual Lipschitz regularity. Existence of weak me…
On the Support of Anomalous Dissipation Measures
Luigi De Rosa, Theodore D. Drivas, Marco Inversi
By means of a unifying measure-theoretic approach, we establish lower bounds on the Hausdorff dimension of the space-time set which can support anomalous dissipation for weak solut…
Weak-strong uniqueness and vanishing viscosity for incompressible Euler equations in exponential spaces
Luigi De Rosa, Marco Inversi, Giorgio Stefani
In the class of admissible weak solutions, we prove a weak-strong uniqueness result for the incompressible Euler equations assuming that the symmetric part of the gradient belongs…