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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Studying the issue of regularity of solutions to nonlinear parabolic systems of partial differential equations, especially to inhomogenous systems and systems derived from hydrodynamical models.

2011/01/N/ST1/05411

Keywords:

parabolic systems regularity theory mathematical models of hydrodynamics

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_12: Mathematical methods of physics

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 PAN

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: 2

Call: PRELUDIUM 1 - announced on 2011-03-15

Amount awarded: 98 690 PLN

Project start date (Y-m-d): 2011-12-29

Project end date (Y-m-d): 2015-04-28

Project duration:: 40 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. monografie z zakresu parabolicznych równań cząstkowych (8 szt.) (2 400 PLN)
  2. laptop (6 120 PLN)
  3. urządzenie wielofunkcyjne (432 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  1. Boundedness of large-time solutions to a chemotaxis model with nonlocal and semilinear flux
    Authors:
    Jan Burczak, Rafael Granero-Belinchón
    Academic press:
    Topological Methods in Nonlinear Analysis (rok: 2015, tom: n/a, strony: n/a), Wydawca: Juliusz Schauder Center for Nonlinear Studies
    Status:
    Accepted for publication
  2. Interior regularity of space derivatives to an evolutionary, symmetric φ-Laplacian
    Authors:
    Jan Burczak, Petr Kaplicky
    Academic press:
    n/a (rok: 2015, tom: n/a, strony: n/a), Wydawca: n/a
    Status:
    Submitted
  3. Almost everywhere Hölder continuity of gradients to non-diagonal parabolic systems
    Authors:
    Burczak, Jan
    Academic press:
    manuscripta mathematica (rok: 2013, tom: October, strony: 14611), Wydawca: springer
    Status:
    Published
    DOI:
    10.1007/s00229-013-0640-z - link to the publication
  4. L∞ a priori bounds for gradients of solutions to quasilinear inhomogeneous fast-growing parabolic systems.
    Authors:
    Burczak, Jan
    Academic press:
    J. Math. Anal. Appl. (rok: 2012, tom: 393(1), strony: 222-230), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2012.04.020 - link to the publication