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Volume 27, Issue 2
Relaxation Limit for Aw-Rascle System

Richard A. De La Cruzguerrero, Juan C. Juajibioy & Leonardo Rendón

DOI: 10.4208/jpde.v27.n2.7

J. Part. Diff. Eq., 27 (2014), pp. 166-175.

Published online: 2014-06

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  • Abstract
We study the relaxation limit for the Aw-Rascle system of traffic flow. For thiswe apply the theory of invariant regions and the compensated compactnessmethod 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.
  • Keywords

Aw-Rascle system relaxation term compensated compactness invariant regions

  • AMS Subject Headings

35L65

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

richard.delacruz@uptc.edu.co (Richard A. De La Cruzguerrero)

jcjuajibioyo@unal.edu.co (Juan C. Juajibioy)

lrendona@unal.edu.co (Leonardo Rendón)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-27-166, author = {De La Cruzguerrero , Richard A.Juajibioy , Juan C. and Rendón , Leonardo}, title = {Relaxation Limit for Aw-Rascle System}, journal = {Journal of Partial Differential Equations}, year = {2014}, volume = {27}, number = {2}, pages = {166--175}, abstract = { We study the relaxation limit for the Aw-Rascle system of traffic flow. For thiswe apply the theory of invariant regions and the compensated compactnessmethod 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.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v27.n2.7}, url = {http://global-sci.org/intro/article_detail/jpde/5134.html} }
TY - JOUR T1 - Relaxation Limit for Aw-Rascle System AU - De La Cruzguerrero , Richard A. AU - Juajibioy , Juan C. AU - Rendón , Leonardo JO - Journal of Partial Differential Equations VL - 2 SP - 166 EP - 175 PY - 2014 DA - 2014/06 SN - 27 DO - http://doi.org/10.4208/jpde.v27.n2.7 UR - https://global-sci.org/intro/article_detail/jpde/5134.html KW - Aw-Rascle system KW - relaxation term KW - compensated compactness KW - invariant regions AB - We study the relaxation limit for the Aw-Rascle system of traffic flow. For thiswe apply the theory of invariant regions and the compensated compactnessmethod 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.
Richard A.De La Cruzguerrero, Juan C. Juajibioy & Leonardo Rendón. (2019). Relaxation Limit for Aw-Rascle System. Journal of Partial Differential Equations. 27 (2). 166-175. doi:10.4208/jpde.v27.n2.7
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