P. Bonicatto

activity

20142026

most citedOn the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity

14 citations · 58 across the 17 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AP2019

On the structure of divergence-free measures on $R^{2}$

Paolo Bonicatto, Nikolay A. Gusev

We consider the structure of divergence-free vector measures on the plane. We show that such measures can be decomposed into measures induced by closed simple curves. More generall…

math.AP2019★ 10 cited

Regularity estimates for the flow of BV autonomous divergence free vector fields in $R^{2}$

Paolo Bonicatto, Elio Marconi

We consider the regular Lagrangian flow X associated to a bounded divergence-free vector field b with bounded variation. We prove a Lusin-Lipschitz regularity result for X and we s…

math.MG2019

Indecomposable sets of finite perimeter in doubling metric measure spaces

Paolo Bonicatto, Enrico Pasqualetto, Tapio Rajala

We study a measure-theoretic notion of connectedness for sets of finite perimeter in the setting of doubling metric measure spaces supporting a weak $(1, 1)$ -Poincaré inequality. Th…

On the structure of divergence-free measures on R2

Regularity estimates for the flow of BV autonomous divergence free vector fields in R2

Indecomposable sets of finite perimeter in doubling metric measure spaces

On the structure of divergence-free measures on $R^{2}$

Regularity estimates for the flow of BV autonomous divergence free vector fields in $R^{2}$