Pith. sign in

REVIEW 1 cited by

A granular model for crowd motion and pedestrian flow

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2402.17361 v3 pith:BDAI3LBT submitted 2024-02-27 math.AP

Noureddine Igbida , José Miguel Urbano This is my paper · ORCID
classification math.AP
keywords crowdmotioncongestedflowgranularmodelpedestrianproblem
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We study a granular model for congested crowd motion and pedestrian flow. Our approach is based on an approximation through a Hele-Shaw type equation involving a degenerate operator of $p$-Laplacian type and a linear drift, for which we prove existence and uniqueness using nonlinear semigroup methods and the doubling variables technique. Our main result shows that, as $p \to \infty$, the weak solutions of the $p-$problem converge to a variational solution of the congested crowd motion problem.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Congested Crossing Pedestrian Traffic Flow : Dispersion vs. Transport in Crowded Areas

    math.AP 2025-01 conditional novelty 6.0 of 10

    The authors prove existence of solutions for a model where a transported crowd rho1 and a sandpile-like, capacity-respecting crowd rho2 coexist, and demonstrate the dynamics numerically.

Pith tools