Phase-space analysis for hydrodynamic traffic models

被引：11

作者：

Saavedra, P. ^{[1
]}

Velasco, R. M. ^{[2
]}

机构：

[1] Univ Autonoma Metropolitana Iztapalapa, Dept Math, Iztapalapa 09340, Mexico

[2] Univ Autonoma Metropolitana Iztapalapa, Dept Phys, Iztapalapa 09340, Mexico

来源：

PHYSICAL REVIEW E | 2009年 / 79卷 / 06期

关键词：

granular flow; hydrodynamics; Navier-Stokes equations; phase space methods; traffic; FLOW; PHYSICS;

D O I：

10.1103/PhysRevE.79.066103

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

This work is devoted to the study of steady states in two hydrodynamic traffic models. The first model to be analyzed is the Kerner-Konhaumluser model and the second is called kinetic Navier-Stokes model. The study is made through an analysis in the phase space. Taking into account the analogy with the description of the one-particle motion, we can give a sensible meaning to the dynamical functions which determine the stability of the steady states. Lastly, we constructed the phase plane paths in several cases for both models.

引用

页数：10

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