We revisit the existence and uniqueness theory for admissible solutions to a class of non-strictly hyperbolic 2 × 2 systems of conservation laws with a triangular structure. We show that these solutions arise as limits of solutions to a nonlocal system (involving convolution terms) as the averaging kernel converges to a Dirac delta.

On a nonlocal regularization of a non-strictly hyperbolic system of conservation laws / Maria Coclite, G., De Nitti, N.. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - STAMPA. - 92:(2026), pp. 104447.104447-104447.104447. [10.1016/j.nonrwa.2025.104447]

On a nonlocal regularization of a non-strictly hyperbolic system of conservation laws

Maria Coclite, Giuseppe;De Nitti, Nicola
2026

Abstract

We revisit the existence and uniqueness theory for admissible solutions to a class of non-strictly hyperbolic 2 × 2 systems of conservation laws with a triangular structure. We show that these solutions arise as limits of solutions to a nonlocal system (involving convolution terms) as the averaging kernel converges to a Dirac delta.
2026
https://doi.org/10.1016/j.nonrwa.2025.104447
On a nonlocal regularization of a non-strictly hyperbolic system of conservation laws / Maria Coclite, G., De Nitti, N.. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - STAMPA. - 92:(2026), pp. 104447.104447-104447.104447. [10.1016/j.nonrwa.2025.104447]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/306840
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