| Abstract: |
| We investigate the existence and stability of small perturbations of constant states of the generalized Hughes model for pedestrian flow in an infinitely large corridor. We show that constant flows are stable under a condition on the density. Our findings indicates that when the density is less than half of the maximum density, which is the Lasry-Lions monotonicity condition, we can control the perturbation and prove postive stability results for the nonlinear Generalized Hughes model. |
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