Luca Talamini

activity

20242026

collaborators

6 papers

math.AP2026

Strong traces for solutions of $2 \times 2$ nonlinear hyperbolic systems

Luca Talamini

In this paper we show that bounded entropy solutions of genuinely nonlinear $2 \times 2$ systems of hyperbolic conservation laws admit a strong trace on Lipschitz curves. The main a…

math.AP2026

Measure preserving maps with bounded total variation

Stefano Bianchini, Luca Talamini

Consider a piecewise affine Lipschitz map $I ¨ : I^c ◯ \to R$ , where $I^c ◯ \subset R^{d}$ is an open set, and assume that $x \mapsto x + t \nabla I ¨ (x)$ is injective for almos…

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 $I^^{3} = 3$

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…

math.AP2024

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…

Strong traces for solutions of 2×2 nonlinear hyperbolic systems

Measure preserving maps with bounded total variation

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

Backward-forward characterization of attainable set for conservation laws with spatially discontinuous flux

Strong traces for solutions of $2 \times 2$ nonlinear hyperbolic systems

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

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