Nonlinear Pedestrian-flow Model: Uniform Wellposedness and Global Existence

Authors

Christian Dogbe, Laboratoire de Math´ematiques Nicolas Oresme, Universit´e de Caen Basse-Normandie, LMNO, UMR 6139, CNRS, France

Author Country (or Countries)

France

Abstract

This paper is concerned with the existence, uniqueness and propagation of monotonous properties for a certain class of Cauchy problems for first-order Hamilton-Jacobi equations for which initial data is a gradient function. In particular, we show that the monotonicity properties are propagated under certain assumptions. The main result is gained by the method of characteristics and a priori estimates under a monotonicity criterion. Applications of equations studying here refer to control problems in crowd dynamics.

Suggested Reviewers

N/A

Recommended Citation

Dogbe, Christian (2013) "Nonlinear Pedestrian-flow Model: Uniform Wellposedness and Global Existence," Applied Mathematics & Information Sciences: Vol. 07: Iss. 1, Article 4.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss1/4