77 citations · 285 across the 27 of their papers we have counts for
8 papers · 1 filter
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…
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…
Full double Hölder regularity of the pressure in bounded domains
Luigi De Rosa, Mickaël Latocca, Giorgio Stefani
We consider Hölder continuous weak solutions , , of the incompressible Euler equations on a bounded and simply connected domain $Ω\subset\mat…
On Double Hölder Regularity of the Hydrodynamic Pressure in Bounded Domains
Luigi De Rosa, Mickaël Latocca, Giorgio Stefani
We prove that the hydrodynamic pressure associated to the velocity , , of an inviscid incompressible fluid in a bounded and simply connected domain $Ω\s…
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…
An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces
Gianluca Crippa, Giorgio Stefani
We revisit Yudovich's well-posedness result for the -dimensional Euler equations for an inviscid incompressible fluid on either a sufficiently regular (not necessarily bounded)…
Existence and uniqueness theorems for some semi-linear equations on locally finite graphs
Andrea Pinamonti, Giorgio Stefani
We study some semi-linear equations for the -Laplacian operator on locally finite weighted graphs. We prove existence of weak solutions for all and $p\in(1,…
On the Steiner property for planar minimizing clusters. The anisotropic case
Valentina Franceschi, Aldo Pratelli, Giorgio Stefani
In this paper we discuss the Steiner property for minimal clusters in the plane with an anisotropic double density. This means that we consider the classical isoperimetric problem…