A kinetic model for vehicular traffic: Existence of stationary solutions

Authors
Illner, R Klar, A Lange, H Unterreiter, A Wegener, R
Citation
R. Illner et al., A kinetic model for vehicular traffic: Existence of stationary solutions, J MATH ANAL, 237(2), 1999, pp. 622-643
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
237
Issue
2
Year of publication
1999
Pages
622 - 643
Database
ISI
SICI code
0022-247X(19990915)237:2<622:AKMFVT>2.0.ZU;2-T
Abstract
In this paper the kinetic model for vehicular traffic developed by Klar and Wegener (SIAM J. Appl. Math. 59 (1999), 983-1001) is considered, and theor etical results for the space homogeneous kinetic equation are presented. In particular, the stationary kinetic equation is considered. An investigatio n of this equation leads to a boundary value problem for an ordinary differ ential equation. Existence of the solution and some properties are proved. A numerical investigation of the stationary equation is included. (C) 1999 Academic Press.