57 citations · 413 across the 51 of their papers we have counts for
6 papers · 1 filter
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…
Logarithmic estimates for continuity equations
Maria Colombo, Gianluca Crippa, Stefano Spirito
The aim of this short note is twofold. First, we give a sketch of the proof of a recent result proved by the authors in the paper [Colombo, Crippa, and Spirito, Calc. Var. Partial…
On the asymptotic behavior of the solutions to parabolic variational inequalities
Maria Colombo, Luca Spolaor, Bozhidar Velichkov
We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variational inequalities, with non-smooth constraint, and prove that they satisfy a ne…
Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1
Tristan Buckmaster, Maria Colombo, Vlad Vicol
We prove non-uniqueness for a class of weak solutions to the Navier-Stokes equations which have bounded kinetic energy, integrable vorticity, and are smooth outside a fractal set o…
Local limit of nonlocal traffic models: convergence results and total variation blow-up
Maria Colombo, Gianluca Crippa, Elio Marconi +1
Consider a nonlocal conservation where the flux function depends on the convolution of the solution with a given kernel. In the singular local limit obtained by letting the convolu…
Stability for the mailing problem
Maria Colombo, Antonio De Rosa, Andrea Marchese
We prove that optimal traffic plans for the mailing problem in are stable with respect to variations of the given coupling, above the critical exponent , th…