Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

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Mathematical Models for Pedestrian Flows

2011/01/B/ST1/03965

Keywords:

Models for Pedestrain Flows Hyperbolic Systems of Conservation Laws Shape Optimization

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_17: Applied mathematics
  • ST1_12: Mathematical methods of physics

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

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Massimiliano 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 (Y-m-d): 2011-12-21

Project end date (Y-m-d): 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)
  1. Existence results for Hughes' model for pedestrian flows
    Authors:
    D.Amadori, P.Goatin, M.D.Rosini
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2014, tom: 420, strony: 387–406), Wydawca: Richard M. Aron, Goong Chen, Steven G. Krantz
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2014.05.072 - link to the publication
  2. 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 (rok: 2013, tom: 64, strony: 223–251), Wydawca: Kaspar Nipp
    Status:
    Published
    DOI:
    10.1007/s00033-012-0232-x - link to the publication
  3. 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 (rok: 2015, tom: 12, strony: 259-278), Wydawca: Yang Kuang, Zhiming Zheng
    Status:
    Published
    DOI:
    10.3934/mbe.2015.12.259 - link to the publication
  4. Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit
    Authors:
    M. Di Francesco · M.D. Rosini
    Academic press:
    Archive for Rational Mechanics and Analysis (rok: 2015, ), Wydawca: J.M. Ball; R.D. James
    Status:
    Accepted for publication
  5. 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 (rok: 2014, tom: 24, strony: 2685–2722), Wydawca: Nicola Bellomo, Franco Brezzi
    Status:
    Published
    DOI:
    10.1142/S0218202514500341 - link to the publication