Abstract: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 introduced by Holden and Risebro. An L 1 -contraction property of the coupling condition and uniqueness of solutions to the Cauchy problem are proven. Existence is obtained by a kinetic approximation of Bhatnagar-Gross-Krook-type together with a kinetic coupling condition obtained by a kinetic maximum entropy dissipation problem. The … Show more
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