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dc.contributor.authorGomes, Diogo A.
dc.contributor.authorMachado Velho, Roberto
dc.date.accessioned2017-06-08T06:32:28Z
dc.date.available2017-06-08T06:32:28Z
dc.date.issued2016-01-06
dc.identifier.urihttp://hdl.handle.net/10754/624831
dc.description.abstractHere, we study a crowd model proposed by R. Hughes in [5] and we describe a numerical approach to solve it. This model comprises a Fokker-Planck equation coupled with an Eikonal equation with Dirichlet or Neumann data. First, we establish a priori estimates for the solution. Second, we study radial solutions and identify a shock formation mechanism. Third, we illustrate the existence of congestion, the breakdown of the model, and the trend to the equilibrium. Finally, we propose a new numerical method and consider two numerical examples.
dc.titleSome Numerical Aspects on Crowd Motion - The Hughes Model
dc.typePoster
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences & Engineering (CEMSE)
dc.conference.dateJanuary 5-10, 2016
dc.conference.nameAdvances in Uncertainty Quantification Methods, Algorithms and Applications (UQAW 2016)
dc.conference.locationKAUST
kaust.personGomes, Diogo A.
kaust.personMachado Velho, Roberto
refterms.dateFOA2018-06-13T14:55:30Z


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