Existence Theory for Generalized Newtonian Fluids provides a rigorous mathematical treatment of the existence of weak solutions to generalized Navier-Stokes equations modeling Non-Newtonian fluid flows. The book presents classical results, developments over the last 50 years of research, and recent results with proofs.

• Provides the state-of-the-art of the mathematical theory of Generalized Newtonian fluids
• Combines elliptic, parabolic and stochastic problems within existence theory under one umbrella
• Focuses on the construction of the solenoidal Lipschitz truncation, thus enabling readers to apply it to mathematical research
• Approaches stochastic PDEs with a perspective uniquely suitable for analysis, providing an introduction to Galerkin method for SPDEs and tools for compactness