The one-sided lipschitz condition in the follow-the-leader approximation of scalar conservation laws

DOI10.1142/s0219891622500205zbMath1517.35130arXiv2103.00061MaRDI QIDQ6099240

Marco Di Francesco, Graziano Stivaletta

Publication date: 19 June 2023

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.00061

zbMATH Keywords

nonlinear conservation lawsone-sided Lipschitz conditionfollow-the-leader approximationuniqueness of entropy solutions

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) Methods of ordinary differential equations applied to PDEs (35A24) PDEs in connection with mechanics of particles and systems of particles (35Q70) Initial value problems for first-order hyperbolic equations (35L03)

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