Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Analysis of nonlinear partial differential systems motivated by mathematical biology or continuum mechanics

2016/21/D/ST1/03085

Keywords:

nonlinear partial differential systems regularity asymptotics Keller-Segel system non-Newtonian fluid dynamics Navier-Stokes system

Descriptors:

  • 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 :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Jan Burczak 

Number of co-investigators in the project: 1

Call: SONATA 11 - announced on 2016-03-15

Amount awarded: 147 372 PLN

Project start date (Y-m-d): 2017-01-13

Project end date (Y-m-d): 2022-01-12

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.

Equipment purchased [PL]

  1. Laptop (6 500 PLN)
  2. Tablet (1 200 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  1. Well posedness of nonlinear parabolic systems beyond duality
    Authors:
    M. Bulicek, J. Burczak, S. Schwarzacher
    Academic press:
    Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire (rok: 2019, tom: 36, strony: 1467–1500), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.anihpc.2019.01.004 - link to the publication
  2. Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations
    Authors:
    Jan Burczak, Rafael Granero-Belinchón
    Academic press:
    Discrete & Continuous Dynamical Systems - S (rok: 2020, tom: 13(2), strony: 139-164), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/dcdss.2020008 - link to the publication
  3. Suppression of blow up by a logistic source in 2D Keller-Segel system with fractional dissipation
    Authors:
    Burczak, Jan; Granero-Belinchón, Rafael
    Academic press:
    Journal of Differential Equations (rok: 2017, tom: 263, strony: 6115-6142), Wydawca: elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2017.07.007 - link to the publication
  4. Non uniqueness of power-law flows
    Authors:
    Burczak, Jan; Modena, Stefano; Székelyhidi, László
    Academic press:
    Communications in Mathematical Physics (rok: 2021, tom: 388, strony: 199-243), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-021-04231-7 - link to the publication

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