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math.AP2019
On the structure of divergence-free measures on
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
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…