3 papers
math.AP2021
A fractal version of the Onsager's conjecture: the model
Luigi De Rosa, Silja Haffter
Intermittency phenomena are known to be among the main reasons why Kolmogorov's theory of fully developed Turbulence is not in accordance with several experimental results. This is…
math.AP2018
On the Helicity conservation for the incompressible Euler equations
Luigi De Rosa
In this work we investigate the helicity regularity for weak solutions of the incompressible Euler equations. To prove regularity and conservation of the helicity we will threat th…
math.AP2018
Regularity in time of Hölder solutions of Euler and hypodissipative Navier-Stokes equations
Maria Colombo, Luigi De Rosa
In this work we investigate some regularization properties of the incompressible Euler equations and of the fractional Navier-Stokes equations where the dissipative term is given b…