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A kinetic model for vehicular traffic: Existence of stationary solutions
- In this paper the kinetic model for vehicular traffic developed in [3,4] is considered and theoretical results for the space homogeneous kinetic equation are presented. Existence and uniqueness results for the time dependent equation are stated. An investigation of the stationary equation leads to a boundary value problem for an ordinary differential equation. Existence of the solution and some properties are proved. A numerical investigation of the stationary equation is included.
Author: | Reinhard Illner, Axel Klar, H. Lange, Andreas Unterreiter, Raimund Wegener |
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URN: | urn:nbn:de:hbz:386-kluedo-5960 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (190) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 1998 |
Year of first Publication: | 1998 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2000/04/03 |
Tag: | fixpoint theorem; kinetic models; stationary solutions; vehicular traffic |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |