Luca Talamini

collaborators

3 papers

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.AP2025

Liouville type theorem and kinetic formulation for 2x2 systems of conservation laws

Fabio Ancona, Elio Marconi, Luca Talamini

We study $L^{\infty}$ entropy solutions to $2 \times 2$ systems of conservation laws. We show that, if a uniformly convex entropy exists, these solutions satisfy a pair of kin…

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

Liouville type theorem and kinetic formulation for 2x2 systems of 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