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UID:4900@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20231010T110000
DTEND;TZID=Europe/Paris:20231010T120000
DTSTAMP:20240524T072506Z
URL:https://www.i2m.univ-amu.fr/evenements/hard-congestion-limits-for-the-
 dissipative-aw-rascle-system/
SUMMARY: (...): Hard-congestion limits for the dissipative Aw-Rascle system
DESCRIPTION:: This talk is based on two recent/upcoming works centred aroun
 d the analysis of solutions to a generalised Aw-Rascle model for traffic 
 flow in one spatial dimension. This system is in fact formally equivalent 
 to the compressible pressureless Navier-Stokes model. I will first talk a
 bout the case where the domain is the 1D torus and discuss the well-posedn
 ess of the system and additionally the convergence (under certain assumpt
 ions) towards a weak solution of the 'hard-congestion model'\, which is an
  example of a free-congested system. In the latter half of the talk I will
  introduce the theory of the so-called 'duality solutions'\, which is a c
 ertain class of measure-valued solutions for conservation laws. In particu
 lar\, I will provide a definition of duality solutions for our hard-conges
 tion model and state an existence result for both weak and duality solutio
 ns in the case of the real line. These solutions are obtained via the Aw-R
 ascle system.
CATEGORIES:Séminaire,Analyse Appliquée
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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