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
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