51 citations · 248 across the 29 of their papers we have counts for
5 papers · 1 filter
Onsager critical solutions of the forced Navier-Stokes equations
Elia Bruè, Maria Colombo, Gianluca Crippa +2
We answer positively to [BDL22, Question 2.4] by building new examples of solutions to the forced 3d-Navier-Stokes equations with vanishing viscosity, which exhibit anomalous dissi…
Enhanced dissipation for two-dimensional Hamiltonian flows
Elia Bruè, Michele Coti Zelati, Elio Marconi
Let be an autonomous, non-constant Hamiltonian on a compact -dimensional manifold, generating an incompressible velocity field . We give…
Gluing non-unique Navier-Stokes solutions
Dallas Albritton, Elia Bruè, Maria Colombo
We construct non-unique Leray solutions of the forced Navier-Stokes equations in bounded domains via gluing methods. This demonstrates a certain locality and robustness of the non-…
Anomalous dissipation for the forced 3D Navier-Stokes equations
Elia Bruè, Camillo De Lellis
In this paper, we consider the forced incompressible Navier-Stokes equations with vanishing viscosity on the three-dimensional torus. We show that there are (classical) solutions f…
The metric measure boundary of spaces with Ricci curvature bounded below
Elia Bruè, Andrea Mondino, Daniele Semola
We solve a conjecture raised by Kapovitch, Lytchak, and Petrunin by showing that the metric measure boundary is vanishing on any space without boundary. Our result…