36 citations · 140 across the 28 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
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…
math.AP2019★ 3 cited
On the structure of weak solutions to scalar conservation laws with finite entropy production
Elio Marconi
We consider weak solutions with finite entropy production to the scalar conservation law \begin{equation} \partial_t u+\mathrm{div}_x F(u)=0 \quad \mbox{in }(0,T)\times \mathbb{R}^…
math.AP2019★ 2 cited
Structure and regularity of solutions to 1d scalar conservation laws
Elio Marconi
We consider bounded entropy solutions to the scalar conservation law in one space dimension: \begin{equation*} u_t+f(u)_x=0. \end{equation*} We quantify the regularizing effect of…