论文标题
通过离散动力学理论方法对多硅车辆交通的数学建模
Mathematical modeling of multilane vehicular traffic by discrete kinetic theory approach
论文作者
论文摘要
本文介绍了根据离散动力学理论方法对多透明车辆交通的建模和数值模拟。考虑和建模非线性添加剂交互和外部操作，例如电话门以及交通标志。通过使用Banach的固定点理论证明了相关凯奇问题的相关库奇问题的适当性。在空间均匀和不均匀问题的情况下，进行数值模拟以验证改进的模型。
This paper deals with the modeling and numerical simulations of multilane vehicular traffic according to the discrete kinetic theory approach. The nonlinear additive interactions and external actions such as tollgates as well traffic signs are considered and modeled. The well-posedness of the related Cauchy problem for the spatially homogeneous case has been proved by using Banach fixed-point theory. Numerical simulations are carried out to validate the improved model in the cases of spatially homogeneous and inhomogeneous problems.
