2 citations · 2 across the 1 of their papers we have counts for
4 papers
Exponential Stability of Large BV Solutions in a Model of Granular flow
Fabio Ancona, Laura Caravenna, Cleopatra Christoforou
We consider a system of hyperbolic balance laws, in one-space dimension, that describes the evolution of a granular material with slow erosion and deposition. The dynam…
A Directional Lipschitz Extension Lemma, with Applications to Uniqueness and Lagrangianity for the Continuity Equation
Laura Caravenna, Gianluca Crippa
We prove a Lipschitz extension lemma in which the extension procedure simultaneously preserves the Lipschitz continuity for two non-equivalent distances. The two distances under co…
On the structure of solutions for general hyperbolic systems of balance laws
Fabio Ancona, Laura Caravenna, Andrea Marson
The paper describes the qualitative structure of BV entropy solutions of a strictly hyperbolic system of balance laws with characteristic fields either piecewise genuinely nonlinea…
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…