Elio Marconi

activity

20162026

most citedLocal limit of nonlocal traffic models: convergence results and total variation blow-up

36 citations · 140 across the 28 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.AP2023

An overview on the local limit of non-local conservation laws, and a new proof of a compactness estimate

Maria Colombo, Gianluca Crippa, Elio Marconi +1

Consider a non-local (i.e., involving a convolution term) conservation law: when the convolution term converges to a Dirac delta, in the limit we formally recover a classical (or "…

math.AP2023

Hölder regularity of continuous solutions to balance laws and applications in the Heisenberg group

Laura Caravenna, Elio Marconi, Andrea Pinamonti

We prove Hölder regularity of any continuous solution $u$ to a $1$ -D scalar balance law $u_{t} + [f (u)]_{x} = g$ , when the source term $g$ is bounded and the flux $f$ is nonlinear of o…

math.AP2023★ 1 cited

Ole\uınik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit

Giuseppe Maria Coclite, Maria Colombo, Gianluca Crippa +5

We consider a class of nonlocal conservation laws with exponential kernel and prove that quantities involving the nonlocal term $W:=\mathbb{1}_{(-\infty,0]}(\cdot)\exp(\cdot) \ast…