1 citations · 1 across the 5 of their papers we have counts for
5 papers
Improved Hausdorff dimension estimate of the singular set of the supercritical surface quasigeostrophic equation
Maria Colombo, Silja Haffter
We prove that the spacetime singular set of any suitable Leray-Hopf solution of the surface quasigeostrophic equation with fractional dissipation of order has H…
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…
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…
Estimate on the dimension of the singular set of the supercritical surface quasigeostrophic equation
Maria Colombo, Silja Haffter
We consider the SQG equation with dissipation given by a fractional Laplacian of order . We introduce a notion of suitable weak solution, which exists for every $L^2…
Global regularity for the hyperdissipative Navier-Stokes equation below the critical order
Maria Colombo, Silja Haffter
We consider solutions of the Navier-Stokes equation with fractional dissipation of order . We show that for any divergence-free initial datum such that $||u_0||_{H^δ…