Solvability of a free-boundary problem describing the traffic flows

We study a mathematical model of the vehicle traffic on straight freeways, which describes the traffic flow by means of equations of one-dimensional motion of the isobaric viscous gas. The corresponding free boundary problem is studied by means of introduction of Lagrangian coordinates, whic...

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Bibliographic Details
Main Authors: Anvarbek Meirmanov, Sergey Shmarev, Akbota Senkebaeva
Format: Article
Language:English
Published: Texas State University 2015-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/74/abstr.html