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THE LWR TRAFFIC MODEL AT A JUNCTION WITH MULTIBUFFERS

机译:带有多个缓冲器的LWR交通模型

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摘要

We consider the Lighthill-Whitham-Richards traffic flow model on a network composed by a single junction J with n incoming roads, m outgoing roads and m buffers, one for each outgoing road. We introduce a concept solution at J, which is compared with that proposed in. Finally we study the Cauchy problem and, in the special case of n ≤ 2 and m ≤ 2, we prove existence of solutions to the Cauchy problem, via the wave-front tracking method.
机译:我们考虑由单个结点J组成的网络上的Lighthill-Whitham-Richards交通流模型,该交叉点具有n条传入道路,m条传出道路和m个缓冲区,每条传出道路各有一个。我们在J处引入了一个概念解,并与中提出的进行了比较。最后,我们研究了柯西问题,并且在n≤2和m≤2的特殊情况下,通过波动证明了柯西问题的解的存在前跟踪方法。

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