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Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Collective behavior -- a mathematician's perspective

2018/30/M/ST1/00340

Keywords:

partial differential equations models of collective dynamics

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_8: Analysis
  • ST1_18: Control theory and optimisation

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, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Piotr Mucha 

Number of co-investigators in the project: 4

Call: HARMONIA 10 - announced on 2018-06-15

Amount awarded: 420 000 PLN

Project start date (Y-m-d): 2019-03-29

Project end date (Y-m-d): 2024-03-28

Project duration:: 36 months (the same as in the proposal)

Project status: Project completed

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (10)
  1. On limits of contact tracing in epidemic control
    Authors:
    Tomasz Piasecki, Piotr B. Mucha , Magdalena Rosińska
    Academic press:
    PLOS ONE (rok: 2021, tom: 16(8), strony: e0256180), Wydawca: PLOS
    Status:
    Published
    DOI:
    10.1371/journal.pone.0256180 - link to the publication
  2. The compressible Euler system with nonlocal pressure: Global existence and relaxation
    Authors:
    R. Danchin, P.B. Mucha
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2024, tom: 63, strony: no 148: 1-47), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-024-02774-w - link to the publication
  3. Inevitable monokineticity of strongly singular alignment
    Authors:
    M. Fabisiak, J. Peszke
    Academic press:
    Mathematische Annalen (rok: 2023, tom: x, strony: 17899), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-023-02776-7 - link to the publication
  4. Data Clustering as an Emergent Consensus of Autonomous Agents
    Authors:
    P.Minakowski, J. Peszek
    Academic press:
    arxiv (rok: 2022, tom: -, strony: 45677), Wydawca: arxiv
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. Density-induced consensus protocol
    Authors:
    Piotr Minakowski, Piotr B. Mucha, Jan Peszek
    Academic press:
    Mathematical Models and Methods in Applied Sciences (rok: 2020, tom: 30, strony: 2389-2415), Wydawca: World Scientific Publishing Company
    Status:
    Published
    DOI:
    brak - link to the publication
  6. Global-in-time stability of ground states of a pressureless hydrodynamic model of collective behaviour.
    Authors:
    P.B. Mucha, W. Ożański
    Academic press:
    Commun. Math. Sci. (rok: 2023, tom: 21, strony: 1937-1959), Wydawca: intlpress
    Status:
    Published
    DOI:
    10.4310/CMS.2023.v21.n7.a9 - link to the publication
  7. A fuzzy q-closest alignment model
    Authors:
    P.B. Mucha, J. Peszek
    Academic press:
    Nonlinearity (rok: 2024, tom: 37, strony: 085007: 21pp), Wydawca: IOPScience
    Status:
    Published
    DOI:
    10.1088/1361-6544/ad5781 - link to the publication
  8. Lorentz spaces in action on pressureless systems arising from models of collective behavior
    Authors:
    R. Danchin, Piotr B. Mucha and P. Tolksdorf
    Academic press:
    Journal of Evolution Equations (rok: 2021, tom: 21, strony: 3103-31-27), Wydawca: Birhauser
    Status:
    Published
    DOI:
    10.1007/s00028-021-00668-4 - link to the publication
  9. A Polarization Opinion Model Inspired by Bounded Confidence Communications
    Authors:
    J. Cyranka, P.B. Mucha
    Academic press:
    Journal of the Franklin Institute. (rok: 2024, tom: 361, strony: 107140: 1-14), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfranklin.2024.107140 - link to the publication
  10. Construction of weak solutions to a pressureless viscous model driven by nonlocal attraction-repulsion
    Authors:
    P.B. Mucha, M. Szlenk, E. Zatorska
    Academic press:
    arxiv (rok: 2024, tom: -, strony: 16803), Wydawca: arxiv
    Status:
    Submitted
    DOI:
    brak - link to the publication

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