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. Approaches stochastic PDEs with a perspective uniquely suitable for analysis, providing an introduction to the Galerkin method for SPDEs and tools for compactness About the Author Dominic Breit is currently Assistant Professor in the Department of Mathematics at Heriot Watt University, Edinburgh. In 2009, Breit finished his PhD study at Saarland University in Saarbrcken (Germany). In 2014, he was awarded a price for the best habilitation thesis at LMU Munich for a thesis which is the basis for this book. About Mathematics in Science and Engineering Series Editor : Goong Chen Editorial Board : Helene Frankowska, Jordi Boronat Medico, Vicentiu Radulescu, Ulrich Stadtmller, Stephen Wiggins, Pengfei Yao This book series provides scientists and engineers with useful works in applied, computational and nonlinear mathematics and mechanics.

The series focuses thematically on areas of interdisciplinary interest, particularly those based in nonlinear science. Volumes address modeling and use modern computational techniques. Contemporary problems and solutions are targeted throughout.