L^1 singular limit for relaxation and viscosity approximations of extended traffic flow models

This paper considers the Cauchy problem for an extended traffic flow model with $L^1$-bounded initial data. A solution of the corresponding equilibrium equation with $L^1$-bounded initial data is given by the limit of solutions of viscous approximations of the original system as the dissipation para...

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Bibliographic Details
Main Authors: Christian Klingenberg, Yun-Guang Lu, Hui-Jiang Zhao
Format: Article
Language:English
Published: Texas State University 2003-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/23/abstr.html