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A coupled prediction-correction Hughes' model for congested crowd motion
Hamza Ennaji, Noureddine Igbida, Ghadir Jradi +1
In this work, we introduce a new macroscopic model for crowd motion inspired by the celebrated Hughes' model \cite{Hughes2002, Hughes2003}, which couples a nonlinear conservation l…
Prediction-Correction Pedestrian Flow by Means of Minimum Flow Problem
Hamza Ennaji, Noureddine Igbida, Ghadir Jradi
We study a new variant of mathematical prediction-correction model for crowd motion. The prediction phase is handled by a transport equation where the vector field is computed via…
Quasi-convex Hamilton--Jacobi equations via limits of Finsler -Laplace problems as
Hamza Ennaji, Noureddine Igbida, Van Thanh Nguyen
In this paper we show that the maximal viscosity solution of a class of quasi-convex Hamilton--Jacobi equations, coupled with inequality constraints on the boundary, can be recover…