m

F Nous contacter

0

Documents  35R70 | enregistrements trouvés : 3

O
     

-A +A

P Q

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

Research talks;Partial Differential Equations;Dynamical Systems and Ordinary Differential Equations;Mathematical Physics

We describe here formal analogies between the Darcy equations, that describe the flow of a viscous fluid in a porous medium, and some problems arising from the handing of congestion in crowd motion models.
At the microscopic level, individuals are identified to rigid discs, and the dual handling of the non overlapping constraint leads to discrete Darcy-like equations with a unilateral constraint that involves the velocities and interaction pressures, and that are set on the contact network. At the macroscopic level, a similar problem is obtained, that is set on the congested zone.
We emphasize the differences between the two settings: at the macroscopic level, a straight use of the maximum principle shows that congestion actually favors evacuation, which is in contradiction with experimental evidence. On the contrary, in the microscopic setting, the very particular structure of the discrete differential operators makes it possible to reproduce observed "Stop and Go waves", and the so called "Faster is Slower" effect.
We describe here formal analogies between the Darcy equations, that describe the flow of a viscous fluid in a porous medium, and some problems arising from the handing of congestion in crowd motion models.
At the microscopic level, individuals are identified to rigid discs, and the dual handling of the non overlapping constraint leads to discrete Darcy-like equations with a unilateral constraint that involves the velocities and interaction ...

34A60 ; 34D20 ; 35F31 ; 35R70 ; 70E50 ; 70E55

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.


ISBN 978-0-8218-0779-8

Memoirs of the american mathematical society , 0632

Localisation : Collection 1er étage

contrôle optimal # inclusion différentielle # relaxiabilité # représentation multivariée # solution extrème # sous-différentielle

34A60 ; 34G20 ; 35K22 ; 35R70 ; 49J27

... Lire [+]

Déposez votre fichier ici pour le déplacer vers cet enregistrement.

- 273 p.
ISBN 978-0-8176-4121-4

Progress in nonlinear differential equations and their applications , 0037

Localisation : Ouvrage RdC (DACO)

EDP # catégorie de Baire # contrôl optimal # intégration convexe # mathématique appliquée # problème de valeur aux limites # système # théorème de Vitali # viscosité

19K20 ; 34A60 ; 34B99 ; 35G30 ; 35R70 ; 49J45 ; 49K15 ; 49L25 ; 73C50

... Lire [+]

Z