Projects funded by the NCN
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:
- ST1_12:
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
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 (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]
- monografie z zakresu parabolicznych równań cząstkowych (8 szt.) (2 400 PLN)
- laptop (6 120 PLN)
- urządzenie wielofunkcyjne (432 PLN)
Information in the final report
- Publication in academic press/journals (2)
- L∞ a priori bounds for gradients of solutions to quasilinear inhomogeneous fast-growing parabolic systems.Authors:Burczak, JanAcademic press:J. Math. Anal. Appl. (rok: 2012, tom: 393(1), strony: 222-230), Wydawca: ElsevierStatus:PublishedDOI:10.1016/j.jmaa.2012.04.020 - link to the publication
- Almost everywhere Hölder continuity of gradients to non-diagonal parabolic systemsAuthors:Burczak, JanAcademic press:manuscripta mathematica (rok: 2013, tom: October, strony: 14611), Wydawca: springerStatus:PublishedDOI:10.1007/s00229-013-0640-z - link to the publication