Existence theory for steady flows of fluids with pressure and shear rate dependent viscosity, for low values of the power-law index

Abstract

In the paper we establish the existence of weak solution to steady flows of an incompressible fluids with pressure and shear rate dependent viscosity in all dimensions subjeceted to homogeneous Dirichlet boundary conditions for a certain class of viscosities.

Keywords

• Existence
• theory
• steady
• flows
• fluids
• pressure
• shear
• dependent
• viscosity
• values
• power-law
• index