Existence Theory for Generalized Newtonian Fluids

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.

Autorentext
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 Saarbrücken (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.

Klappentext

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. --

Inhalt

Part 1: Stationary problems1: Preliminaries2: Fluid mechanics and Orlicz spaces3: Solenoidal Lipschitz truncation4: Prandtl-Eyring fluids

Part 2: Non-stationary problems5: Preliminaries6: Solenoidal Lipschitz truncation7: Power law fluids

Part 3: Stochastic problems8: Preliminaries9: Stochastic PDEs10: Stochastic power law fluids

Appendix A: Function spacesAppendix B: The A-Stokes systemAppendix C: Itô's formula in infinite dimensions