Regularity of planar flows for shear-thickening fluids under perfect slip boundary conditions

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.

Keywords

• Generalized Newtonian fluid
• regularity
• perfect slip boundary conditions