Conservation versus balance laws in traffic flow

被引：4

作者：

Bagnerini, P ^{[1
]}

Colombo, RM ^{[1
]}

Corli, A ^{[1
]}

Pedretti, S ^{[1
]}

机构：

[1] Univ Ferrara, Dept Math, I-44100 Ferrara, Italy

来源：

TRAFFIC AND GRANULAR FLOW '03 | 2005年

关键词：

hyperbolic balance laws; temple systems; invariant domains;

D O I：

10.1007/3-540-28091-X_22

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

This note discusses the role of source terms in the modeling of vehicular traffic through conservation laws. As is well known, a source term in the equation for the vehicular density may represent entries or exits. When a second conservation laws is present, suitable source terms may describe various inhomogeneities of the road, such as ascents, descents or fog banks. In each of these cases, we provide an analytical framework. Finally, numerical experiments show specific phenomena that may not be reproduced by purely conservative models.

引用

页码：235 / 240

页数：6

共 50 条

[1] On Optimization of Traffic Flow Performance for Conservation Laws on Networks
Ancona, Fabio
Cesaroni, Annalisa
Coclite, Giuseppe Maria
Garavello, Mauro
[J]. MINIMAX THEORY AND ITS APPLICATIONS, 2021, 6 (02): : 205 - 226
[2] Modeling and managing traffic flow through hyperbolic conservation laws
Colombo, RM
[J]. TRAFFIC AND GRANULAR FLOW '03, 2005, : 229 - 234
[3] Systems of hyperbolic conservation laws on networks - A model for traffic flow
Holden, H
Risebro, NH
Martinsen, TW
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 295 - 298
[4] GROUPS, CONSERVATION LAWS AND FORGOTTEN LAWS OF BALANCE
EDELEN, DGB
[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1970, 67 (01): : 29 - &
[5] L1 stability of conservation laws for a traffic flow model
Li, Tong
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2001,
[6] NONLOCAL SCALAR CONSERVATION LAWS ON BOUNDED DOMAINS AND APPLICATIONS IN TRAFFIC FLOW
Keimer, Alexander
Pflug, Lukas
Spinola, Michele
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2018, 50 (06) : 6271 - 6306
[7] Global BV Solutions to a System of Balance Laws from Traffic Flow
Li, Tong
Mathur, Nitesh
[J]. HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL I, HYP2022, 2024, 34 : 307 - 317
[8] On non-entropy solutions of scalar conservation laws for traffic flow
Gasser, I
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2003, 83 (02): : 137 - 143
[9] Conservation Laws with Nonlocality in Density and Velocity and Their Applicability in Traffic Flow Modelling
Friedrich, Jan
Goettlich, Simone
Keimer, Alexander
Pflug, Lukas
[J]. HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL II, HYP2022, 2024, 35 : 347 - 357
[10] TRAVELING WAVES FOR CONSERVATION LAWS WITH NONLOCAL FLUX FOR TRAFFIC FLOW ON ROUGH ROADS
Shen, Wen
[J]. NETWORKS AND HETEROGENEOUS MEDIA, 2019, 14 (04) : 709 - 732

← 1 2 3 4 5 →