Navier's Slip and Evolutionary Navier-Stokes-like Systems with Pressure and Shear-rate Dependent Viscosity

Abstract

We establish the long time and large data existence of weak solution to evolutionary generalized Navier-Stokes systems with shear-rate and pressure dependent viscosity in bounded two and three dimensional domains. The considered flows fulfill the Navier's slip conditions at the boundary.

Keywords

• Navier&apos
• s
• Evolutionary
• Navier-Stokes-like
• Systems
• Pressure
• Shear-rate
• Dependent
• Viscosity