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Continuum Limit of Follow-the-Leader Models -
M. Francesco, S. Fagioli, M. Rosini, G. Disim, U. dell'Aquila, Instytut Matematyki, Uniwersytet Curie-Skłodowskiej, D. Informatica, U. Catania (2016)
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- Publisher
- Springer Journals
- Copyright
- Copyright © Springer International Publishing AG 2017
- Subject
- Mathematics; Analysis
- ISSN
- 1021-9722
- eISSN
- 1420-9004
- DOI
- 10.1007/s00030-017-0480-8
- Publisher site
- See Article on Publisher Site
Abstract
We rigorously prove the convergence of the micro–macro limit for particle approximations of the constrained pressureless gas dynamics system. The lack of BV bounds on the density variable is supplied by a compensated compactness argument.
Journal
Nonlinear Differential Equations and Applications NoDEA – Springer Journals
Published: Oct 1, 2017
Keywords: Conservation laws with density constraint; Many-particle system; Traffic flow models; Primary 35L87; Secondary 35L75; 35A35