Mathematical Models for Pedestrian Flows
2011/01/B/ST1/03965
Keywords
Descriptors
- ST1_11: Równania różniczkowe cząstkowe
- ST1_17: Teoria sterowania i optymalizacja
- ST1_12: Fizyka matematyczna
Panel
ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution
Uniwersytet Warszawski, Interdyscyplinarne Centrum Modelowania Matematycznego i Komputerowego
Voivodeship: mazowieckie
Principal investigator (from the host institution)
dr hab. Massimiliano Daniele Rosini
Number of co-investigators in the project: 1
Call
OPUS 1 – announced on 2011-03-15
- Amount awarded
- 70 200 PLN
- Project start date
- 2011-12-21
- Project end date
- 2014-12-20
- Project duration
- 36 months (the same as in the proposal)
- Project status
- Project settled
Information in the final report
Publication in academic press/journals (5)
-
On entropy weak solutions of Hughes' model for pedestrian motion
- Authors:
- N.El-Khatib, P.Goatin, M.D.Rosini
- Academic press:
- Zeitschrift für angewandte Mathematik und Physik (year: 2013, volume: 64, pages: 223–251), Publisher: Kaspar Nipp
- Status:
- Published
- DOI:
- 10.1007/s00033-012-0232-x – link to the publication
-
Crowd Dynamics and Conservation Laws with Non–Local Constraints and Capacity Drop
- Authors:
- B.Andreianov, C.Donadello, M.D.Rosini
- Academic press:
- Mathematical Models and Methods in Applied Sciences (year: 2014, volume: 24, pages: 2685–2722), Publisher: Nicola Bellomo, Franco Brezzi
- Status:
- Published
- DOI:
- 10.1142/S0218202514500341 – link to the publication
-
Riemann problems with non–local point constraints and capacity drop
- Authors:
- B.Andreianov, C.Donadello, M.D.Rosini, U.Razafison
- Academic press:
- Mathematical Biosciences and Engineering (year: 2015, volume: 12, pages: 259-278), Publisher: Yang Kuang, Zhiming Zheng
- Status:
- Published
- DOI:
- 10.3934/mbe.2015.12.259 – link to the publication
-
Existence results for Hughes' model for pedestrian flows
- Authors:
- D.Amadori, P.Goatin, M.D.Rosini
- Academic press:
- Journal of Mathematical Analysis and Applications (year: 2014, volume: 420, pages: 387–406), Publisher: Richard M. Aron, Goong Chen, Steven G. Krantz
- Status:
- Published
- DOI:
- 10.1016/j.jmaa.2014.05.072 – link to the publication
-
Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit
- Authors:
- M. Di Francesco · M.D. Rosini
- Status:
- Accepted for publication