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Existence Theory for Generalized Newtonian Fluids provides a rigorous mathematical treatment of the existence of weak solutions to generalized Navier-Stokes equations modeling… Read more
SUSTAINABLE DEVELOPMENT
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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.
Scientists and graduate students with basic knowledge in nonlinear partial differential equations and interest in mathematical fluid mechanics
Part 1: Stationary problems
Chapter 1: Preliminaries
Chapter 2: Fluid mechanics & Orlicz spaces
Chapter 3: Solenoidal Lipschitz truncation
Chapter 4: Prandtl–Eyring fluids
Part 2: Non-stationary problems
Chapter 5: Preliminaries
Chapter 6: Solenoidal Lipschitz truncation
Chapter 7: Power law fluids
Part 3: Stochastic problems
Chapter 8: Preliminaries
Chapter 9: Stochastic PDEs
Chapter 10: Stochastic power law fluids
Appendix A: Function spaces
Appendix B: The A-Stokes system
Appendix C: Itô's formula in infinite dimensions
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