Chapter 7
Power law fluids
Abstract
We study non-stationary motions of power law fluids in a bounded Lipschitz domain. Based on the solenoidal Lipschitz truncation from Chapter 6 we show the existence of weak solutions to the generalized Navier–Stokes system for 
. Our approach completely avoids the appearance of the pressure function.
Keywords
Generalized Newtonian fluids; Power law fluids; Non-stationary flows; Weak solutions; Existence theory; Solenoidal Lipschitz truncation
The flow of a homogeneous incompressible fluid in a bounded body (
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