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Coordinator

Piotr Gwiazda
Institute of Applied Mathematics and Mechanics
University of Warsaw
Banacha 2,
02-097 Warsaw
e-mail: mmns@mimuw.edu.pl
phone: +48 22 5544551
fax: +48 22 5544700
 

Regularity of solutions to nonlinear parabolic systems
Wojciech Zajączkowski (IM PAN) and Petr Kaplicky (Faculty of Mathematics and Physics Charles University in Prague)
The project is carried out by Jan Burczak at IM PAN
The problem is devoted to examining regularity of weak solutions to nonlinear non-diagonal parabolic systems. We will also examine the regularity of flows of non-newtonian fluids. We are going to consider initial and initial-boundary value problems. To solve the problems we need the techniques of Moser, DeGiorgi, DiBenedetto, Ladyzhenskaya-Uraltseva. The last results of Kaplicky, Beirao da Veiga and Ruzicka will be applied to investigate this project.

[1] P. Kaplicky, (2005) J.Anal.Appl., 24: 467-486.
[2] H. Beirao da Veiga, P. Kaplicky and M. Ruzicka, (2008) Preprint Charles Univ Prague MATH-KMA, 277.
[3] E. DiBenedetto, (1993) Degenerate Parabolic Equations, Springer-Verlag.
[4] O. Ladyzhenskaya,V. Solonnikov and N. Uratseva, (1968) Linear and quasilinear equations of parabolic type, Nauka Moscow.

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