Luca Talamini

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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 $γ = 3$

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…

math.AP2025

Strong time regularity and decay of $L^{\infty}$ solutions to $2 \times 2$ systems of conservation laws

Luca Talamini

We consider $L^{\infty}$ solutions to $2 \times 2$ systems of conservation laws. For genuinely nonlinear systems we prove that finite entropy solutions (in particular entropy…

math.AP2024

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 $x = 0$ , and we study the initial data identification problem for $A B$ -entropy solutions a…

math.AP2024

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 $u \in L^{\infty} (R)$ decay…

On the structure of entropy dissipation and regularity for quasi-entropy solutions to 1d scalar conservation laws and to isentropic Euler system with γ=3

Strong time regularity and decay of L∞ solutions to 2×2 systems of conservation laws

Initial Data Identification for Conservation Laws with Spatially Discontinuous Flux

Intermediate Domains for Scalar Conservation Laws

On the structure of entropy dissipation and regularity for quasi-entropy solutions to 1d scalar conservation laws and to isentropic Euler system with $γ = 3$

Strong time regularity and decay of $L^{\infty}$ solutions to $2 \times 2$ systems of conservation laws