Maximilian Osztfalk's scientific contributions
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Publications (2)
We present a network formulation for a traffic flow model with nonlocal velocity in the flux function. The modeling framework includes suitable coupling conditions at intersections to either ensure maximum flux or distribution parameters. In particular, we focus on 1-to-1, 2-to-1 and 1-to-2 junctions. Based on an upwind type numerical scheme, we pr...
We present a network formulation for a traffic flow model with nonlocal velocity in the flux function. The modeling framework includes suitable coupling conditions at intersections to either ensure maximum flux or distribution parameters. Based on an upwind type numerical scheme, we prove the maximum principle and the existence of weak solutions on...
Citations
... Some works about non-local traffic models deal with networks, for example [8,10,9,23,13,35,31]. In [8], the authors consider measure valued solutions for non-local transport equations and [31] deals with non-local conservation laws on bounded domains while [10,9,35,13] include 1-to-1 junctions. ...
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