On the Hughes' model for pedestrian flow: the one-dimensional case (Q618270)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the Hughes' model for pedestrian flow: the one-dimensional case |
scientific article; zbMATH DE number 5836853
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Hughes' model for pedestrian flow: the one-dimensional case |
scientific article; zbMATH DE number 5836853 |
Statements
On the Hughes' model for pedestrian flow: the one-dimensional case (English)
0 references
14 January 2011
0 references
The authors provide an analysis of the pedestrian flow model introduced in 2002 by R. L. Hughes. This is described by a certain partial differential equation which describes the density of the population at any given point within a bounded domain in \(\mathbb R^d\) and at any given time. They show the existence and uniqueness of the solution of this differential equation. Furthermore, they provide numerical simulations related to their results.
0 references
eikonal equation
0 references
elliptic coupling
0 references
entropy solutions
0 references
characteristics
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0.92964363
0 references
0.9271438
0 references
0.8972033
0 references
0.8895286
0 references
0.88560957
0 references
0.88340676
0 references
0 references
