Formal asymptotic models of vehicular traffic. Model closures
(2003) In SIAM Journal on Applied Mathematics 63(5). p.1561-1584- Abstract
- Formal closed models for vehicular traffic flow are obtained based on the novel equilibrium solution of the Prigogine--Herman equation. To that effect, Hilbert and Chapman--Enskog asymptotic series expansions are employed, obtaining the Euler and Navier--Stokes equivalent equations for traffic flow.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2201848
- author
- Sopasakis, Alexandros LU
- publishing date
- 2003
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Chapman–Enskog, nonlinear kinetic equations, Hilbert asymptotic expansions, traffic flow models
- in
- SIAM Journal on Applied Mathematics
- volume
- 63
- issue
- 5
- pages
- 1561 - 1584
- publisher
- Society for Industrial and Applied Mathematics
- external identifiers
-
- scopus:0344464809
- ISSN
- 0036-1399
- DOI
- 10.1137/S0036139902403020
- language
- English
- LU publication?
- no
- id
- 42f13b91-c484-4c52-b1ab-ec74c50570e3 (old id 2201848)
- date added to LUP
- 2016-04-01 11:37:01
- date last changed
- 2022-01-26 07:43:02
@article{42f13b91-c484-4c52-b1ab-ec74c50570e3, abstract = {{Formal closed models for vehicular traffic flow are obtained based on the novel equilibrium solution of the Prigogine--Herman equation. To that effect, Hilbert and Chapman--Enskog asymptotic series expansions are employed, obtaining the Euler and Navier--Stokes equivalent equations for traffic flow.}}, author = {{Sopasakis, Alexandros}}, issn = {{0036-1399}}, keywords = {{Chapman–Enskog; nonlinear kinetic equations; Hilbert asymptotic expansions; traffic flow models}}, language = {{eng}}, number = {{5}}, pages = {{1561--1584}}, publisher = {{Society for Industrial and Applied Mathematics}}, series = {{SIAM Journal on Applied Mathematics}}, title = {{Formal asymptotic models of vehicular traffic. Model closures}}, url = {{http://dx.doi.org/10.1137/S0036139902403020}}, doi = {{10.1137/S0036139902403020}}, volume = {{63}}, year = {{2003}}, }