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.
1. Cover image - p. iv 2. Title page - p. iv 3. Table of Contents - p. iv 4. Copyright - p. iv 5. Dedication - p. v 6. Preface - p. ix 7. Acknowledgment - p. xiii 8. Notation - p. xv 9. Part 1: Stationary problems - p. xvii 10. Chapter 1: Preliminaries - p. xvii 11. Chapter 2: Fluid mechanics & Orlicz spaces - p. 28 12. Chapter 3: Solenoidal Lipschitz truncation - p. 70 13. Chapter 4: Prandtl–Eyring fluids - p. 88 14. Part 2: Non-stationary problems - p. 97 15. Chapter 5: Preliminaries - p. 97 16. Chapter 6: Solenoidal Lipschitz truncation - p. 113 17. Chapter 7: Power law fluids - p. 143 18. Part 3: Stochastic problems - p. 157 19. Chapter 8: Preliminaries - p. 157 20. Chapter 9: Stochastic PDEs - p. 171 21. Chapter 10: Stochastic power law fluids - p. 184 22. Appendix A: Function spaces - p. 222 23. Appendix B: The A-Stokes system - p. 230 24. Appendix C: Itô's formula in infinite dimensions - p. 250 25. References - p. 255 26. Index - p. 263
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.
1. Cover image - p. iv 2. Title page - p. iv 3. Table of Contents - p. iv 4. Copyright - p. iv 5. Dedication - p. v 6. Preface - p. ix 7. Acknowledgment - p. xiii 8. Notation - p. xv 9. Part 1: Stationary problems - p. xvii 10. Chapter 1: Preliminaries - p. xvii 11. Chapter 2: Fluid mechanics & Orlicz spaces - p. 28 12. Chapter 3: Solenoidal Lipschitz truncation - p. 70 13. Chapter 4: Prandtl–Eyring fluids - p. 88 14. Part 2: Non-stationary problems - p. 97 15. Chapter 5: Preliminaries - p. 97 16. Chapter 6: Solenoidal Lipschitz truncation - p. 113 17. Chapter 7: Power law fluids - p. 143 18. Part 3: Stochastic problems - p. 157 19. Chapter 8: Preliminaries - p. 157 20. Chapter 9: Stochastic PDEs - p. 171 21. Chapter 10: Stochastic power law fluids - p. 184 22. Appendix A: Function spaces - p. 222 23. Appendix B: The A-Stokes system - p. 230 24. Appendix C: Itô's formula in infinite dimensions - p. 250 25. References - p. 255 26. Index - p. 263
