Well‐posedness of IBVP for 1D scalar non‐local conservation laws

DOI10.1002/zamm.201800318arXiv1811.09044OpenAlexW2970030396WikidataQ114852833 ScholiaQ114852833MaRDI QIDQ6154187

Elena Rossi, Paola Goatin

Publication date: 14 February 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.09044

zbMATH Keywords

initial-boundary value problemLax-Friedrichs schemescalar conservation lawsnon-local flux

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Traffic problems in operations research (90B20) Initial-boundary value problems for first-order hyperbolic equations (35L04) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (3)

Discontinuous nonlocal conservation laws and related discontinuous ODEs -- existence, uniqueness, stability and regularity ⋮ Convergence of a second-order scheme for non-local conservation laws ⋮ A Hilliges-Weidlich-type scheme for a one-dimensional scalar conservation law with nonlocal flux

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