Nonlocal Transport Equations---Existence and Uniqueness of Solutions and Relation to the Corresponding Conservation Laws

DOI10.1137/20M1331652zbMath1471.35250WikidataQ114847130 ScholiaQ114847130MaRDI QIDQ5137067

Jean-Michel Coron, Lukas Pflug, Alexander Keimer

Publication date: 1 December 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

entropy solutionnonlocal conservation lawsnonlocal balance lawsnonlocal transport equationsnonlocal advection equationconvergence nonlocal to local

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for first-order hyperbolic equations (35L03) Transport equations (35Q49)

Related Items (2)

Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws ⋮ Discontinuous nonlocal conservation laws and related discontinuous ODEs -- existence, uniqueness, stability and regularity

Cites Work

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