The existence of global BV solutions for the Aw-Rascle system with linear damping is considered. In order to get approximate solutions we consider the system in Lagrangian coordinates, then by using the wave front tracking method coupling with and suitable splitting algorithm and the ideas of [1] we get a sequence of approximate solutions. Finally we show the convergence of this approximate sequence to the weak entropic solution.

中文翻译：

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具有线性阻尼的 Aw-Rascle 系统的柯西问题

考虑了具有线性阻尼的 Aw-Rascle 系统的全局 BV 解的存在。为了得到近似解，我们在拉格朗日坐标系中考虑系统，然后利用波前跟踪方法结合合适的分裂算法和[1]的思想，得到一系列近似解。最后，我们展示了这个近似序列对弱熵解的收敛性。