1 citations · 1 across the 2 of their papers we have counts for
4 papers
Dimension of the singular set of wild Hölder solutions of the incompressible Euler equations
Luigi De Rosa, Silja Haffter
For , we consider weak solutions of the incompressible Euler equations that do not conserve the kinetic energy. We prove that for such so…
Typicality results for weak solutions of the incompressible Navier--Stokes equations
Maria Colombo, Luigi De Rosa, Massimo Sorella
In this work we show that, in the class of distributional solutions of the incompressible Navier-Stokes system, the ones which are smooth in som…
Regularity results for rough solutions of the incompressible Euler equations via interpolation methods
Maria Colombo, Luigi De Rosa, Luigi Forcella
Given any solution of the Euler equations which is assumed to have some regularity in space - in terms of Besov norms, natural in this context - we show by interpolation method…
On the upper semicontinuity of a quasiconcave functional
Luigi De Rosa, Denis Serre, Riccardo Tione
In the recent paper \cite{SER}, the second author proved a divergence-quasiconcavity inequality for the following functional $ \mathbb{D}(A)=\int_{\mathbb{T}^n} det(A(x))^{\frac{1}…