2 citations · 6 across the 6 of their papers we have counts for
13 papers
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…
Constancy of the dimension in codimension one and locality of the unit normal on spaces
Elia Bruè, Enrico Pasqualetto, Daniele Semola
The aim of this paper is threefold. We first prove that, on spaces, the boundary measure of any set with finite perimeter is concentrated on the -regular set…
Improved regularity estimates for Lagrangian flows on spaces
Elia Bruè, Qin Deng, Daniele Semola
This paper gives a contribution to the study of regularity of Lagrangian flows on non-smooth spaces with lower Ricci curvature bounds. The main novelties with respect to the existi…
Boundary regularity and stability for spaces with Ricci bounded below
Elia Bruè, Aaron Naber, Daniele Semola
This paper studies the structure and stability of boundaries in noncollapsed spaces, that is, metric-measure spaces with lower Ricc…
Advection diffusion equations with Sobolev velocity field
Elia Bruè, Quoc-Hung Nguyen
In this note we study advection diffusion equations associated to incompressible velocity fields with . We present new estimates on the energy dissipation rate and w…
Rectifiability of RCD(K,N) spaces via -splitting maps
Elia Bruè, Enrico Pasqualetto, Daniele Semola
In this note we give new proofs of rectifiability of RCD(K,N) spaces as metric measure spaces and lower semicontinuity of the essential dimension, via -splitting maps. The argum…