Traffic flow with unobservant drivers
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...
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Veröffentlicht in: | Zeitschrift für angewandte Mathematik und Mechanik 2011-10, Vol.91 (10), p.763-776 |
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description | 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.
The authors 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. |
doi_str_mv | 10.1002/zamm.201000122 |
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The authors 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.</description><subject>Aw-Rascle model</subject><subject>Exact sciences and technology</subject><subject>Mathematics</subject><subject>Numerical analysis</subject><subject>Numerical analysis. Scientific computation</subject><subject>pressureless gas dynamics</subject><subject>Sciences and techniques of general use</subject><subject>Traffic flow</subject><issn>0044-2267</issn><issn>1521-4001</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqFj81LAzEQxYMoWKtXz3vpcetkkk2aY6naCq1eKgUvIZsmGN1-kNR--Ne7ZaV4kznMDLzfezxCbil0KQDefZvFootQ30ARz0iLFkhzXn_npAXAeY4o5CW5SunjqFGUtUhnGo33wWa-Wu2yXdi8Z1_LVZlc3JrlJpvHsHUxXZMLb6rkbn53m7w-PkwHo3z8Mnwa9Me5ZUpiLq3ydM6kk9hTvblD6kpBoUBjetwB0lIpaYSXDGydqkpA8KXhXAC1AhRrk27ja-Mqpei8XsewMPGgKehjSX0sqU8la6DTAGuTrKl8NEsb0olCXghVT61TjW4XKnf4x1W_9SeTvxl5w4a0cfsTa-KnFpLJQs-eh7qYcXWvRkIL9gO-4XDC</recordid><startdate>201110</startdate><enddate>201110</enddate><creator>Herty, M.</creator><creator>Schleper, V.</creator><general>WILEY-VCH Verlag</general><general>WILEY‐VCH Verlag</general><general>Wiley-VCH</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>201110</creationdate><title>Traffic flow with unobservant drivers</title><author>Herty, M. ; Schleper, V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3972-7c9f1d37e72898de21eb61052aa84e021b997a6f730caff9b020fba44601c6093</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Aw-Rascle model</topic><topic>Exact sciences and technology</topic><topic>Mathematics</topic><topic>Numerical analysis</topic><topic>Numerical analysis. Scientific computation</topic><topic>pressureless gas dynamics</topic><topic>Sciences and techniques of general use</topic><topic>Traffic flow</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Herty, M.</creatorcontrib><creatorcontrib>Schleper, V.</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Zeitschrift für angewandte Mathematik und Mechanik</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Herty, M.</au><au>Schleper, V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Traffic flow with unobservant drivers</atitle><jtitle>Zeitschrift für angewandte Mathematik und Mechanik</jtitle><addtitle>Z. angew. Math. Mech</addtitle><date>2011-10</date><risdate>2011</risdate><volume>91</volume><issue>10</issue><spage>763</spage><epage>776</epage><pages>763-776</pages><issn>0044-2267</issn><eissn>1521-4001</eissn><coden>ZAMMAX</coden><abstract>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.
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subjects | Aw-Rascle model Exact sciences and technology Mathematics Numerical analysis Numerical analysis. Scientific computation pressureless gas dynamics Sciences and techniques of general use Traffic flow |
title | Traffic flow with unobservant drivers |
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