57 citations · 89 across the 13 of their papers we have counts for
4 papers · 2 filters
Fine properties of symmetric and positive matrix fields with bounded divergence
Luigi De Rosa, Riccardo Tione
This paper is concerned with various fine properties of the functional \[ \mathbb{D}(A) = \int_{\mathbb{T}^n}{\text{det}}^\frac{1}{n-1}(A(x))\,dx \] introduced in [33]. This functi…
Intermittency and lower dimensional dissipation in incompressible fluids
Luigi De Rosa, Philip Isett
In the context of incompressible fluids, the observation that turbulent singular structures fail to be space filling is known as ``intermittency'' and it has strong experimental fo…
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…