Jakub Tichy
Abstract:
For evolutionary planar flows of shear-thickening fluids in bounded
domains we prove the existence of a solution with the Holder continuous
velocity gradients and pressure. The problem is equipped with perfect
slip boundary conditions. We also show L^q theory result for Stokes
system under perfect slip boundary conditions.
Submitted April 19, 2013. Published March 15, 2014.
Math Subject Classifications: 35B65, 35K51, 35Q35, 76D03.
Key Words: Generalized Newtonian fluid; regularity;
perfect slip boundary conditions.
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Jakub Tichý Charles University in Prague Department of Mathematical Analysis Sokolovská 83, 186 75 Praha 8, Czech Republic email: jakub.tichy@fit.cvut.cz |
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