Cucker-Smale's flocking model with a singular communication weight
2013/09/N/ST1/04113
Keywords
Descriptors
- ST1_10: Równania różniczkowe zwyczajne i układy dynamiczne
- ST1_11: Równania różniczkowe cząstkowe
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
Voivodeship: mazowieckie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
PRELUDIUM 5 – announced on 2013-03-15
- Amount awarded
- 83 800 PLN
- Project start date
- 2014-02-20
- Project end date
- 2017-05-19
- Project duration
- 39 months (the same as in the proposal)
- Project status
- Project settled
Equipment purchased [PL]
- Komputer stacjonarny (wraz z monitorem). Cost: 4 500 PLN
- Laptop. Cost: 1 806 PLN
Information in the final report
Publication in academic press/journals (4)
-
Flocking particles in a non-Newtonian shear thickening fluid
- Authors:
- Piotr B. Mucha, Jan Peszek, Milan Pokorny
- Academic press:
- NONLINEARITY (year: 2018, volume: 31, pages: 2703-2725), Publisher: IOP PUBLISHING LTD
- Status:
- Published
- DOI:
- 10.1088/1361-6544/aab594 – link to the publication
-
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 (year: 2018, volume: 227, pages: 273-308), Publisher: SPRINGER
- Status:
- Published
- DOI:
- 10.1007/s00205-017-1160-x – link to the publication
-
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 (year: 2017, volume: 37, pages: 317-328), Publisher: PERGAMON-ELSEVIER SCIENCE LTD
- Status:
- Published
- DOI:
- 10.1016/j.nonrwa.2017.02.017 – link to the publication
-
Discrete Cucker-Smale's flocking model with a weakly singular weight
- Authors:
- Jan Peszek
- Academic press:
- SIAM Journal of Mathematical Analysis (year: 2015, volume: 47, pages: 3671-3686), Publisher: Society for Industrial and Applied Mathematics
- Status:
- Published
- DOI:
- 10.1137/15M1009299 – link to the publication