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Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Cucker-Smale's flocking model with a singular communication weight

2013/09/N/ST1/04113

Keywords:

kinetic theory Vlasov type equations singular operators measure-valued solutions

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_11: Partial differential equations

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):

Jan Peszek 

Number of co-investigators in the project: 2

Call: PRELUDIUM 5 - announced on 2013-03-15

Amount awarded: 83 800 PLN

Project start date (Y-m-d): 2014-02-20

Project end date (Y-m-d): 2017-05-19

Project duration:: 39 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Laptop (1 806 PLN)
  2. Komputer stacjonarny (wraz z monitorem) (4 500 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  1. Discrete Cucker-Smale's flocking model with a weakly singular weight
    Authors:
    Jan Peszek
    Academic press:
    SIAM Journal of Mathematical Analysis (rok: 2015, tom: 47, strony: 3671-3686), Wydawca: Society for Industrial and Applied Mathematics
    Status:
    Published
    DOI:
    10.1137/15M1009299 - link to the publication
  2. The Cucker-Smale equation: singular communication weight, measure-valued solutions and weak-atomic uniqueness
    Authors:
    Piotr B. Mucha, Jan Peszek
    Academic press:
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (rok: 2018, tom: 227, strony: 273-308), Wydawca: SPRINGER
    Status:
    Published
    DOI:
    10.1007/s00205-017-1160-x - link to the publication
  3. Flocking particles in a non-Newtonian shear thickening fluid
    Authors:
    Piotr B. Mucha, Jan Peszek, Milan Pokorny
    Academic press:
    NONLINEARITY (rok: 2018, tom: 31, strony: 2703-2725), Wydawca: IOP PUBLISHING LTD
    Status:
    Published
    DOI:
    10.1088/1361-6544/aab594 - link to the publication
  4. Sharp conditions to avoid collisions in singular Cucker-Smale interactions
    Authors:
    Jose A. Carrillo, Young-Pil Choi, Piotr B. Mucha, Jan Peszek
    Academic press:
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (rok: 2017, tom: 37, strony: 317-328), Wydawca: PERGAMON-ELSEVIER SCIENCE LTD
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2017.02.017 - link to the publication

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