Relaxation limit for Aw-Rascle system
Classical Analysis and ODEs
2014-08-26 v2 Analysis of PDEs
Abstract
In this paper we apply the Invariant Regions Theory and the Compensated Compactness Method, to study the singular limit of stiff relaxation and domain diffusion for the Cauchy problem of Aw-Rascle system.
Cite
@article{arxiv.1310.1305,
title = {Relaxation limit for Aw-Rascle system},
author = {Juan Carlos Juajibioy and Richard de la Cruz Guerrero and Leonardo Rendon},
journal= {arXiv preprint arXiv:1310.1305},
year = {2014}
}
Related papers
View all related →
Analysis of PDEs · Mathematics
Duality solutions to the hard-congestion model for the dissipative Aw-Rascle system
Nilasis Chaudhuri, Muhammed Ali Mehmood, Charlotte Perrin, Ewelina Zatorska
2024-02-14
Analysis of PDEs · Mathematics
Hard congestion limit of the dissipative Aw-Rascle system with a polynomial offset function
Muhammed Ali Mehmood
2024-04-29
Physics and Society · Physics
Pedestrian models with congestion effects
Pedro Aceves-Sanchez, Rafael Bailo, Pierre Degond, Zoe Mercier
2024-02-02
Analysis of PDEs · Mathematics
The Cauchy Problem Of The Moment Theoiry Elasticity In $R^{n} $
I. E. Niyozov, O. I. Makhmudov
2009-10-20
Analysis of PDEs · Mathematics
Hard congestion limit of the dissipative Aw-Rascle system
N Chaudhuri, L Navoret, Charlotte Perrin, E Zatorska
2022-09-27
Analysis of PDEs · Mathematics
Stability of partially congested travelling wave solutions for the extended Aw-Rascle system
Émile Deléage, Muhammed Ali Mehmood
2024-04-29
Analysis of PDEs · Mathematics
Compressible Euler equations with time-dependent damping in the critical regularity setting: global well-posedness and strong relaxation limit
Timothée Crin-Barat, Xinghong Pan, Ling-Yun Shou, Qimeng Zhu
2025-12-09
Dynamical Systems · Mathematics
Compactification for Asymptotically Autonomous Dynamical Systems: Theory, Applications and Invariant Manifolds
Sebastian Wieczorek, Chun Xie, Chris K. R. T. Jones
2021-07-07
Analysis of PDEs · Mathematics
Relaxation approximation of Friedrich's systems under convex constraints
Jean-François Babadjian, Clément Mifsud, Nicolas Seguin
2015-06-01
Analysis of PDEs · Mathematics
The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics
Ionel-Dumitrel Ghiba, Patrizio Neff, Angela Madeo, Luca Placidi +1
2013-11-26
Analysis of PDEs · Mathematics
The Cauchy Problem for the System of the Thermoelasticity in E^n
I. E. Niyozov, O. I. Makhmudov
2012-10-16
Analysis of PDEs · Mathematics
Global existence of a diffusion limit with damping for the compressible radiative Euler system coupled to an electromagnetic field
X. Blanc, B. Ducomet, S. Necasova
2017-08-15
Analysis of PDEs · Mathematics
Nonuniqueness of weak solutions to the dissipative Aw-Rascle model
Nilasis Chaudhuri, Eduard Feireisl, Ewelina Zatorska
2022-08-05
Analysis of PDEs · Mathematics
The relaxation limit of bipolar fluid models
Nuno J. Alves, Athanasios E. Tzavaras
2024-04-16
Analysis of PDEs · Mathematics
Regular solutions to the dissipative Aw-Rascle system
Nilasis Chaudhuri, Tomasz Piasecki, Ewelina Zatorska
2024-11-06
Numerical Analysis · Mathematics
A Unified Framework for Sponge-Layer Relaxation Methods and Damping Operators for Conservation Laws: Application to the Piston Problem of Gas Dynamics
Carlos Muñoz-Moncayo
2025-12-09
Nuclear Theory · Physics
Relaxation of a single-particle excitation in a Fermi system within the diffusion approximation of kinetic theory
Sergiy V. Lukyanov
2026-03-12
Statistical Mechanics · Physics
A Simple Model for Nonexponential Relaxation in Complex Dynamics
A. Perez-Madrid
2009-11-10
Analysis of PDEs · Mathematics
Diffusive limits of the steady state radiative heat transfer system: Boundary layers
Mohamed Ghattassi, Xiaokai Huo, Nader Masmoudi
2022-11-01
Dynamical Systems · Mathematics
Wave propagation and its stability for a class of discrete diffusion systems
Zhixian Yu, Yuji Wan, Cheng-Hsiung Hsu
2020-12-02
Analysis of PDEs · Mathematics
On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system
Hung Luong, Norbert Mauser, Jean-Claude Saut
2018-02-20
Soft Condensed Matter · Physics
Logarithmic density relaxation in compaction of granular materials
Gongwen Peng, Takao Ohta
2009-10-30
Numerical Analysis · Mathematics
A numerical method for singularly perturbed convection-diffusion problems posed on smooth domains
Alan F. Hegarty, Eugene O'Riordan
2021-12-23
Analysis of PDEs · Mathematics
On the diffusive limits of radiative heat transfer system I: well prepared initial and boundary conditions
Mohamed Ghattassi, Xiaokai Huo, Nader Masmoudi
2021-10-12
Analysis of PDEs · Mathematics
Vanishing Pressure Limit of Solutions to the Aw-Rascle Model for Modified Chaplygin gas
Jinhuan Wang, Jinjing Liu, Hanchun Yang
2014-10-07