论文标题
广义AW-RASCLE模型的分析
Analysis of the generalised Aw-Rascle model
论文作者
论文摘要
我们考虑对车辆交通的AW-RASCLE系统的多维概括。对于任意的大量初始数据和周期域，我们证明了全球量度计算解决方案的存在。此外，使用相对能量技术，我们表明，只要后者存在，量度值的解决方案与经典溶液一致。
We consider the multi-dimensional generalization of the Aw-Rascle system for vehicular traffic. For an arbitrary large class of initial data and the periodic domain, we prove the existence of global-in-time measure-valued solutions. Moreover, using the relative energy technique, we show that the measure-valued solutions coincide with the classical solutions as long as the latter exist.
