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SUMMARY:Deterministic Particle Models for Scalar Conservation Laws and Rel
 ated Models
DTSTART:20191218T141500
DTEND:20191218T150000
DTSTAMP:20260407T113145Z
UID:e9915ce47a4eeb0b12cc8099b805463487c07d1f15b2d3020da26c48
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Marco DI FRANCESCO (Unvi. de L'Aquila\, Italy)\nAbstract
 :\nDeterministic follow-the-leader Lagrangian particle schemes are well kn
 own to be a very efficient tool to approximate traffic flow and pedestrian
  flow PDE models. I will recall a set of recent results in collaboration w
 ith M. D. Rosini (Ferrara)\, S. Fagioli (L’Aquila)\, E. Radici (L’Aqui
 la)\, G. Stivaletta (L’Aquila)\, and G. Russo (Catania) on the rigorous 
 formulation via many particle limits in this setting for a relatively wide
  set of problems including Cauchy problems and Initial-Boundary-Value prob
 lems for scalar conservation laws\, second order models for traffic flow\,
  the Hughes model for pedestrian movements\, nonlocal transport equations 
 with nonlinear mobility and external potentials. These results are based o
 n BV estimates for the approximating piece-wise constant density. A releva
 nt issue in this procedure is ability to detecting the L^infinity - BV smo
 othing effect of a scalar conservation law under a suitable convexity assu
 mption for the flux. In all cases\, the scheme allows to solve the target 
 PDE problem in the classical entropy sense.\n 
LOCATION:MED 0 1418 https://plan.epfl.ch/?room==MED%200%201418
STATUS:CONFIRMED
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