Existence Theory for Generalized Newtonian Fluids
Published on 23. March 2017
Book
Paperback/Softback
286 pages
978-0-12-811044-7 (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.
Reviews / Votes
"The main tools used in the book are related with Sobolev, Lebesgue and Orlicz spaces, with Bogovskii operator and with some special Korn-type inequalities...A large number of proofs and details are given, very useful for those interested in this field." --Zentralblatt MATHMore details
Language
English
Place of publication
San Diego
United States
Publishing group
Elsevier Science Publishing Co Inc
Target group
Professional and scholarly
Scientists and graduate students with basic knowledge in nonlinear partial differential equations and interest in mathematical fluid mechanics
Dimensions
Height: 229 mm
Width: 152 mm
Weight
450 gr
ISBN-13
978-0-12-811044-7 (9780128110447)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Dominic Breit
Existence Theory for Generalized Newtonian Fluids
E-Book
03/2017
Academic Press
€89.95
Available for download
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 Saarbruecken (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: Ito's formula in infinite dimensions
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: Ito's formula in infinite dimensions