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Traffic flow with unobservant drivers
Author(s) -
Herty M.,
Schleper V.
Publication year - 2011
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201000122
Subject(s) - limit (mathematics) , traffic flow (computer networking) , flow (mathematics) , microscopic traffic flow model , speed limit , zero (linguistics) , order (exchange) , computer science , statistical physics , mathematics , mechanics , engineering , transport engineering , physics , traffic generation model , mathematical analysis , computer security , business , real time computing , linguistics , philosophy , finance
We discuss mathematical properties of a coupled macroscopic second‐order traffic model with different pressure laws on the connected roads. Of particular interest is the zero pressure limit and the arising solutions to the coupled equations. This model can be used for prediction of traffic accidents on roads.