11 citations · 11 across the 3 of their papers we have counts for
3 papers · 1 filter
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…
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…
Uniqueness and Lagrangianity for solutions with lack of integrability of the continuity equation
Laura Caravenna, Gianluca Crippa
We deal with the uniqueness of distributional solutions to the continuity equation with a Sobolev vector field and with the property of being a Lagrangian solution, that means tran…