41 citations · 110 across the 21 of their papers we have counts for
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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…
Non-classical solutions of the -Laplace equation
Maria Colombo, Riccardo Tione
In this paper we answer Iwaniec and Sbordone's conjecture \cite{IB94} concerning very weak solutions to the -Laplace equation. Namely, on one hand we show that distributional so…
Nonuniqueness of solutions to the Euler equations with vorticity in a Lorentz space
Elia Brué, Maria Colombo
For the two dimensional Euler equations, a classical result by Yudovich states that solutions are unique in the class of bounded vorticity; it is a celebrated open problem whether…
First order expansion in the semiclassical limit of the Levy-Lieb functional
Maria Colombo, Simone Di Marino, Federico Stra
We prove the conjectured first order expansion of the Levy-Lieb functional in the semiclassical limit, arising from Density Functional Theory (DFT). This is accomplished by interpr…
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…
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…