1 citations · 1 across the 7 of their papers we have counts for
10 papers
Dissipative structures in compressible inviscid fluids
Marco Inversi
This note aims at the following problem. In an ideal density dependent fluid system, is the total energy dissipated on shock type discontinuities? To this end, we study the local e…
-convergence for higher order nonlocal phase transitions
Hardy Chan, Serena Dipierro, Mattia Freguglia +2
For every , we study the asymptotic behavior of the -rescaled sum of the -fractional Allen-Cahn energy and the squared -norm of its first variation…
Fine dissipative properties of Euler solutions with measure first derivatives
Marco Inversi
We study fine properties of bounded weak solutions to the incompressible Euler equations whose first derivatives, or only some combinations of them, are Radon measures. As conseque…
Intermittency and Dissipation Regularity in Turbulence
Luigi De Rosa, Theodore D. Drivas, Marco Inversi +1
We lay down a geometric-analytic framework to capture properties of energy dissipation within weak solutions to the incompressible Euler equations. For solutions with spatial Besov…
Inhomogeneous incompressible Euler with codimension singular structures
Marco Inversi, Alessandro Violini
This paper is concerned with the inhomogeneous incompressible Euler system. We establish a Duchon--Robert type approximation theorem for the distribution describing the local energ…
Dissipation for codimension 1 singular structures in the incompressible Euler equations
Luigi De Rosa, Marco Inversi, Matteo Nesi
We consider weak solutions to the incompressible Euler equations. It is shown that energy conservation holds in any Onsager critical class in which smooth functions are dense. The…
The helicity distribution for the 3D incompressible Euler equations
Marco Inversi, Massimo Sorella
This paper is concerned with the helicity associated to solutions of the 3D incompressible Euler equations. We show that under mild conditions on the regularity of the velocity fie…
-Limsup estimate for a nonlocal approximation of the Willmore functional
Hardy Chan, Mattia Freguglia, Marco Inversi
We propose a possible nonlocal approximation of the Willmore functional, in the sense of Gamma-convergence, based on the first variation ot the fractional Allen-Cahn energies, and…
Normal traces and applications to continuity equations on bounded domains
Gianluca Crippa, Luigi De Rosa, Marco Inversi +1
In this work, we study several properties of the normal Lebesgue trace of vector fields introduced by the second and third author in [22] in the context of the energy conservation…
Existence and stability of weak solutions of the Vlasov--Poisson system in localized Yudovich spaces
Gianluca Crippa, Marco Inversi, Chiara Saffirio +1
We consider the Vlasov--Poisson system both in the repulsive (electrostatic potential) and in the attractive (gravitational potential) cases. In our first main theorem, we prove th…