## 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 urn:nbn:de:hbz:386-kluedo-5960 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (190) Preprint English 1998 1998 Technische Universität Kaiserslautern fixpoint theorem; kinetic models ; stationary solutions ; vehicular traffic Fachbereich Mathematik 510 Mathematik

$Rev: 12793$