51 citations · 248 across the 29 of their papers we have counts for
4 papers · 1 filter
Lower Ricci Curvature Bounds and the Orientability of Spaces
Camillo Brena, Elia Bruè, Alessandro Pigati
We study orientability in spaces with Ricci curvature bounded below. Building on the theory developed by Honda, we establish equivalent characterizations of orientability for Ricci…
Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity
Elia Bruè, Maria Colombo, Anuj Kumar
We propose a new convex integration scheme in fluid mechanics, and we provide an application to the two-dimensional Euler equations. We prove the flexibility and nonuniqueness of $…
Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below
Elia Bruè, Alessandro Pigati, Daniele Semola
We investigate the topological regularity and stability of noncollapsed Ricci limit spaces . We confirm a conjecture proposed by Colding and Naber in di…
Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field
Elia Bruè, Maria Colombo, Anuj Kumar
Given a divergence-free vector field and a nonnegative initial datum , the celebrated DiPerna--Lions theory established…