36 citations · 140 across the 28 of their papers we have counts for
6 papers · 1 filter
Rectifiability of entropy productions for weak solutions of the 2D eikonal equation with supercritical regularity
Xavier Lamy, Elio Marconi
Weak solutions of the eikonal equation \begin{align*} |m|=1\text{ a.e. and }\mathrm{div}\: m =0\,, \end{align*} arise naturally as shar…
On the regularity of continuous solutions to multidimensional scalar conservation laws with bounded source
Fabio Ancona, Laura Caravenna, Alexander J. Cliffe +1
We prove the Hölder regularity of continuous isentropic solutions to multi-dimensional scalar balance laws when the source term is bounded and the flux satisfies general assumption…
Well-posedness results for the Generalized Aw-Rascle-Zhang model
Elio Marconi, Laura V. Spinolo
We establish existence, uniqueness and stability results for the so-called Generalized Aw-Rascle-Zhang model, a second order traffic model introduced by Fan, Herty and Seibold. Our…
Nonlocal Generalized Aw-Rascle-Zhang model: well-posedness and singular limit
Elio Marconi, Laura V. Spinolo
We discuss a nonlocal version of the Generalized Aw-Rascle-Zhang model, a second-order vehicular traffic model where the empty road velocity is a Lagrangian marker governed by a tr…
Uniqueness Domains for Solutions of Hyperbolic Conservation Laws
Alberto Bressan, Elio Marconi, Ganesh Vaidya
For a genuinely nonlinear hyperbolic system of conservation laws, assuming that the initial data have small norm but possibly unbounded total variation…
Liouville type theorem and kinetic formulation for 2x2 systems of conservation laws
Fabio Ancona, Elio Marconi, Luca Talamini
We study entropy solutions to systems of conservation laws. We show that, if a uniformly convex entropy exists, these solutions satisfy a pair of kin…