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Existence Theory for Generalized Newtonian Fluids
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Mathematical Theory for Generalized Newtonian Fluids is a rigorous mathematical theory about the existence of weak solutions to generalized Navier--Stokes equations modelling Non-Newtonian fluid flows. This book presents classical results, developments over the last 50 years, and recent results with proofs. The resulting work is a modern synthesis of this theory, reviewing the classic literature using solenoidal Lipschitz truncation, with the adoption of stochastic models using the Galerkin method for stochastic partial differential equations. Provides the state of the art of the mathematical theory of generalized Newtonian fluids, synthesizing classical results, development over the last 50 years and recent results with proofsCombines elliptic, parabolic and stochastic problems within existence theory under one umbrellaFocus on the construction of the solenoidal Lipschitz truncation enables readers to apply it in mathematical researchApproaches stochastic PDEs with a perspective uniquely suitable for analysis, providing an introduction to Galerkin method for SPDEs and tools for compactness
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