12 citations · 41 across the 20 of their papers we have counts for
22 papers
On the structure of optimal solutions of conservation laws at a junction with one incoming and one outgoing arc
Fabio Ancona, Annalisa Cesaroni, Giuseppe Maria Coclite +1
We consider a min-max problem for strictly concave conservation laws on a 1-1 network, with inflow controls acting at the junction. We investigate the minimization problem for a fu…
SBV-like regularity of Entropy Solutions for a Scalar Balance Law
Fabio Ancona, Laura Caravenna, Andrea Marson
In this note we discuss the SBV-regularity for a scalar balance law in one space dimension as a case study in order to explain the strategy that we apply in a separate paper to gen…
SBV regularity of Entropy Solutions for Hyperbolic Systems of Balance Laws with General Flux function
Fabio Ancona, Laura Caravenna, Andrea Marson
We prove that vanishing viscosity solutions to smooth non-degenerate systems of balance laws having small bounded variation, in one space dimension, must be functions of special bo…
An informal account of recent results on initial-boundary value problems for systems of conservation laws
Laura V. Spinolo, Fabio Ancona, Andrea Marson
This note aims at providing a rather informal and hopefully accessible overview of the fairly long and technical work [4]. In that paper, the authors established new global-in-time…
Existence of vanishing physical viscosity solutions of characteristic initial-boundary value problems for systems of conservation laws
Fabio Ancona, Andrea Marson, Laura V. Spinolo
We consider initial boundary-value problems for nonlinear systems of conservation laws in one space variable. It is known that in general different viscous mechanisms yield differe…
Hard-congestion limit of the p-system in the BV setting
Fabio Ancona, Roberta Bianchini, Charlotte Perrin
This note is concerned with the rigorous justification of the so-called hard congestion limit from a compressible system with singular pressure towards a mixed compressible-incompr…