Aller au contenu  Aller au menu  Aller à la recherche

Bienvenue - Laboratoire Jacques-Louis Lions




Paris Cité
Print this page |
Internships (10th and 11th grades high school students)
Job shadowing (Year 10, Year 11 students) See

Key figures

Key figures

189 people work at LJLL

86 permanent staff

80 researchers and permanent lecturers

6 engineers, technicians and administrative staff

103 non-permanent staff

74 Phd students

15 post-doc and ATER

14 emeritus scholars and external collaborators


January 2022


Séminaire du LJLL : I. Kim

27 mars 2015 — 14h00
Inwon Kim (Université de Californie à Los Angeles)
Congested crowd motion and quasi-static evolution
 In this talk we investigate the relationship between a quasi-static evolution and a transport equation with a drift potential, where the density is transported with a constraint on its maximum. The latter model, in a simplified setting, describes the congested crowd motion with a density constraint. When the drift potential has positive laplacian, the crowd density is likely to aggregate, and thus if the initial density starts as a patch (i.e. if it is a characteristic function of some set) then it is expected that the density evolves as a patch. We show that the evolving patch satisfies a Hele-Shaw type equation. If time permits, we will also discuss some preliminary results on the case of interaction potential arising from aggregation equation.