On Steady Inner Flows of an Incompressible Fluid with the Viscosity Depending on the Pressure and the Shear rate

Abstract

For a class of non-Newtonian incompressible fluids we establish the existence of weak solution for non-homogeneous Dirichlet boundary conditions, assuming either that the normal part of velocity on the boundary is equal to zero or that the boundary data are small.

Keywords

• Steady
• Inner
• Flows
• Incompressible
• Fluid
• Viscosity
• Depending
• Pressure
• Shear
• rate