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math.AP2021
Entropy Dissipation at the Junction for Macroscopic Traffic Flow Models
Yannick Holle
A maximum entropy dissipation problem at a traffic junction and the corresponding coupling condition are studied. We prove that this problem is equivalent to a coupling condition i…
math.AP2020
New Coupling Conditions for Isentropic Flow on Networks
Yannick Holle, Michael Herty, Michael Westdickenberg
We introduce new coupling conditions for isentropic flow on networks based on an artificial density at the junction. The new coupling conditions can be derived from a kinetic model…
math.AP2019
Kinetic Relaxation to Entropy Based Coupling Conditions for Isentropic Flow on Networks
Yannick Holle
We consider networks for isentropic gas and prove existence of weak solutions for a large class of coupling conditions. First, we construct approximate solutions by a vector-valued…