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
Descriptors
- ST1_11: Równania różniczkowe cząstkowe
- ST1_12: Fizyka matematyczna
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
Voivodeship: mazowieckie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
PRELUDIUM 1 – announced on 2011-03-15
- Amount awarded
- 98 690 PLN
- Project start date
- 2011-12-29
- Project end date
- 2015-04-28
- Project duration
- 40 months (the same as in the proposal)
- Project status
- Project settled
Equipment purchased [PL]
- laptop. Cost: 6 120 PLN
- monografie z zakresu parabolicznych równań cząstkowych (8 pcs). Cost: 2 400 PLN
- urządzenie wielofunkcyjne. Cost: 432 PLN
Information in the final report
Publication in academic press/journals (3)
-
Almost everywhere Hölder continuity of gradients to non-diagonal parabolic systems
- Authors:
- Burczak, Jan
- Academic press:
- manuscripta mathematica (year: 2013, volume: October, pages: 14611), Publisher: springer
- Status:
- Published
- DOI:
- 10.1007/s00229-013-0640-z – link to the publication
-
L∞ a priori bounds for gradients of solutions to quasilinear inhomogeneous fast-growing parabolic systems.
- Authors:
- Burczak, Jan
- Academic press:
- J. Math. Anal. Appl. (year: 2012, volume: 393(1), pages: 222-230), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jmaa.2012.04.020 – link to the publication
-
Boundedness of large-time solutions to a chemotaxis model with nonlocal and semilinear flux
- Authors:
- Jan Burczak, Rafael Granero-Belinchón
- Status:
- Accepted for publication