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References
- ↑ Di Francesco, M.; Rosini, M.D. (2015). "Rigorous Derivation of Nonlinear Scalar Conservation Laws from Follow-the-Leader Type Models via Many Particle Limit". Archive for Rational Mechanics and Analysis. 217 (3): 831–871. arXiv: 1404.7062 . Bibcode:2015ArRMA.217..831D. doi:10.1007/s00205-015-0843-4. S2CID 253715804.
- M.J. Lighthill, G.B.Whitham, On kinematic waves II: A theory of traffic flow on long, crowded roads. Proceedings of the Royal Society of London Series A 229, 317–345, 1955
- P.I. Richards, Shock waves on the highway, Operations Research 4, 42–51., 1956
- M. Papageorgiou, Some remarks on macroscopic traffic flow modeling, Elsevier Science Ltd., Vol. 32, No. 5, pp. 323 to 329, 1998
- C.F. Daganzo, Fundamentals of transportation and traffic operations, Elsevier Science Ltd., 1997
- M. Di Francesco, M.D.Rosini, Rigorous Derivation of Nonlinear Scalar Conservation Laws from Follow-the-Leader Type Models via Many Particle Limit, Archive for Rational Mechanics and Analysis, 2015 [1] [2]
- ↑ Di Francesco, M.; Rosini, M.D. (2015). "Rigorous Derivation of Nonlinear Scalar Conservation Laws from Follow-the-Leader Type Models via Many Particle Limit". Archive for Rational Mechanics and Analysis. 217 (3): 831–871. arXiv: 1404.7062 . Bibcode:2015ArRMA.217..831D. doi:10.1007/s00205-015-0843-4. S2CID 253715804.
- ↑ Marco Di Francesco; Rosini, Massimiliano D. (2014). "Rigorous derivation of the Lighthill-Whitham-Richards~model from the follow-the-leader model as many particle limit". arXiv: 1404.7062v1 [math.AP].