Luca Talamini

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20242026

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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 $ϕ : Ω \to R$ , where $Ω \subset R^{d}$ is an open set, and assume that $x \mapsto x + t \nabla ϕ (x)$ is injective for almost ev…

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…

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 γ=3

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 $γ = 3$