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Relaxation Limit for Aw-Rascle System

Relaxation Limit for Aw-Rascle System

作     者:DE LA CRUZ GUERRERO Richard A JUAJIBIOY Juan C RENDON Leonardo 

作者机构:Departamento de Matematicas Universidad Nacional de Colombia Bogota D. C.Colombia. Escuela de Matematicas y Estadistica Universidad Pedagogica y Tecnologica deColombia Tunja Colombia. 

出 版 物:《Journal of Partial Differential Equations》 (偏微分方程(英文版))

年 卷 期:2014年第27卷第2期

页      面:166-175页

学科分类:07[理学] 08[工学] 080104[工学-工程力学] 070104[理学-应用数学] 0701[理学-数学] 0801[工学-力学(可授工学、理学学位)] 

主  题:Aw-Rascle system relaxation term compensated compactness invariant regions. 

摘      要:We study the relaxation limit for the Aw-Rascle system of traffic flow. For this we apply the theory of invariant regions and the compensated compactness method to get global existence of Cauchy problem for a particular Aw-Rascle system with source, where the source is the relaxation term, and we show the convergence of this solutions to the equilibrium state.

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