Existence Theory for Generalized Newtonian Fluids
Published on 22. March 2017
286 pages
978-0-12-811045-4 (ISBN)
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.
- Provides the state-of-the-art of the mathematical theory of Generalized Newtonian fluids
- Combines elliptic, parabolic and stochastic problems within existence theory under one umbrella
- Focuses on the construction of the solenoidal Lipschitz truncation, thus enabling readers to apply it to mathematical research
- Approaches 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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Dominic Breit
Existence Theory for Generalized Newtonian Fluids
Book
03/2017
Academic Press
€107.88
Shipment within 15-20 days
Person
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.
Content
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
