Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Singular collective dynamics

2018/31/D/ST1/02313

Keywords:

particle system kinetic theory hydrodynamics agregation flocking nonlocal interactions

Descriptors:

  • ST1_11:
  • ST1_8:
  • ST1_18:

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):

dr Jan Paweł Peszek 

Number of co-investigators in the project: 2

Call: SONATA 14 - announced on 2018-09-14

Amount awarded: 450 230 PLN

Project start date (Y-m-d): 2019-07-05

Project end date (Y-m-d): 2024-07-04

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

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 (6)
  • Book publications / chapters in book publications (1)
  1. A FUZZY q-CLOSEST ALIGNMENT MODEL
    Authors:
    Piotr Mucha and Jan Peszek
    Academic press:
    Nonlinearity (rok: 2024, tom: 37, strony: 45678), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6544/ad5781 - link to the publication
  2. Inevitable monokineticity of strongly singular alignment
    Authors:
    Michał Fabisiak and Jan Peszek
    Academic press:
    Mathematische Annalen (rok: 2024, tom: 390, strony: 589 - 637), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-023-02776-7 - link to the publication
  3. Density induced consensus protocol
    Authors:
    Piotr Minakowski, Piotr Mucha, Jan Peszek
    Academic press:
    Mathematical Models and Methods in Applied Sciences (rok: 2020, tom: 30 nr 12, strony: 2389-2415), Wydawca: World Scientific Publishing Company
    Status:
    Published
    DOI:
    10.1142/S0218202520500451 - link to the publication
  4. Mean-field limit of 2D stationary particle systems with signed Coulombian interactions
    Authors:
    Jan Peszek i Remy Rodiac
    Academic press:
    Journal of the London Mathematical Society (rok: 2025, tom: 111(1), strony: e70068), Wydawca: John Wiley and Sons Ltd
    Status:
    Published
    DOI:
    10.1112/jlms.70068 - link to the publication
  5. Heterogeneous gradient flows in the topology of fibered optimal transport
    Authors:
    Jan Peszeka and David Poyato
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2023, tom: 62, strony: 26299), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-023-02601-8 - link to the publication
  6. Data Clustering as an Emergent Consensus of Autonomous Agents
    Authors:
    Piotr Minakowski i Jan Peszek
    Status:
    Accepted for publication
  1. Non-local dissipative Aw-Rascle model and its relation with Matrix-valued communication in Euler alignment
    Authors:
    Nilasis Chaudhuri, Jan Peszek, Maja Szlenk, Ewelina Zatorska
    Book:
    Status:
    Accepted for publication

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