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math.NA2026
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…
math.AP2026
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…