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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.

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Author:Reinhard Illner, Axel Klar, H. Lange, Andreas Unterreiter, Raimund Wegener
URN (permanent link):urn:nbn:de:hbz:386-kluedo-5960
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (190)
Document Type:Preprint
Language of publication:English
Year of Completion:1998
Year of Publication:1998
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Tag:fixpoint theorem; kinetic models; stationary solutions; vehicular traffic
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011