7 papers
Kolmogorov -entropy of numerical solutions for scalar conservation laws with convex flux
Fabio Ancona, Alessio Basti, Fabio Camilli
Building on the information-theoretic perspective of P.~D.~Lax [\textit{Proc.\ Sympos., Math.\ Res.\ Center, Univ.\ Wisconsin}, 1978], we establish a two-sided quantitative compact…
On the structure of entropy dissipation and regularity for quasi-entropy solutions to 1d scalar conservation laws and to isentropic Euler system with
Fabio Ancona, Elio Marconi, Luca Talamini
In this paper, we first investigate quasi-entropy solutions to scalar conservation laws in several space dimensions. In this setting, we introduce a suitable Lagrangian representat…
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…
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…
Initial Data Identification for Conservation Laws with Spatially Discontinuous Flux
Fabio Ancona, Luca Talamini
We consider a scalar conservation law with a spatially discontinuous flux at a single point , and we study the initial data identification problem for -entropy solutions a…
Intermediate Domains for Scalar Conservation Laws
Fabio Ancona, Alberto Bressan, Elio Marconi +1
For a scalar conservation law with strictly convex flux, by Oleinik's estimates the total variation of a solution with initial data decay…
Backward-forward characterization of attainable set for conservation laws with spatially discontinuous flux
Fabio Ancona, Luca Talamini
Consider a scalar conservation law with a spatially discontinuous flux at a single point x=0, and assume that the flux is uniformly convex when x\neq 0. Given an interface connecti…