Existence Theory for Generalized Newtonian Fluids

Description

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. Content: Front Matter,Copyright,Dedication,Preface,Acknowledgment,NotationEntitled to full textPart I: Stationary problemsChapter 1 - Preliminaries, Pages 3-28 Chapter 2 - Fluid mechanics & Orlicz spaces, Pages 29-70 Chapter 3 - Solenoidal Lipschitz truncation, Pages 71-88 Chapter 4 - Prandtl–Eyring fluids, Pages 89-97 Chapter 5 - Preliminaries, Pages 101-113 Chapter 6 - Solenoidal Lipschitz truncation, Pages 115-143 Chapter 7 - Power law fluids, Pages 145-157 Chapter 8 - Preliminaries, Pages 161-171 Chapter 9 - Stochastic PDEs, Pages 173-184 Chapter 10 - Stochastic power law fluids, Pages 185-222 Appendix A - Function spaces, Pages 223-230 Appendix B - The -Stokes system, Pages 231-250 Appendix C - Itô's formula in infinite dimensions, Pages 251-254 References, Pages 255-261 Index, Pages 263-267