23 citations · 78 across the 16 of their papers we have counts for
4 papers · 1 filter
Eulerian, Lagrangian and Broad continuous solutions to a balance law with non convex flux I
G. Alberti, S. Bianchini, L. Caravenna
We discuss different notions of continuous solutions to the balance law \[u_t + (f(u ))_x =g \] with bounded, , extending previous works relative to the flux $f(u)=…
Schaeffer's regularity theorem for scalar conservation laws does not extend to systems
Laura Caravenna, Laura Spinolo
Schaeffer's regularity theorem for scalar conservation laws can be loosely speaking formulated as follows. Assume that the flux is uniformly convex, then for a generic smooth initi…
A note on regularity and failure of regularity for systems of conservation laws via Lagrangian formulation
Laura Caravenna
The paper recalls two of the regularity results for Burgers' equation, and discusses what happens in the case of genuinely nonlinear, strictly hyperbolic systems of conservation la…
New interaction estimates for the Baiti-Jenssen system
Laura Caravenna, Laura Spinolo
We establish new interaction estimates for a system introduced by Baiti and Jenssen. These estimates are pivotal to the analysis of the wave front-tracking approximation. In a comp…