Existence Theory for Generalized Newtonian Fluids

Existence Theory for Generalized Newtonian Fluids

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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.
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Product details

  • Paperback | 286 pages
  • 152 x 229 x 15.24mm | 450g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 0128110449
  • 9780128110447

Table of contents

Part 1: Stationary problems 1: Preliminaries 2: Fluid mechanics and Orlicz spaces 3: Solenoidal Lipschitz truncation 4: Prandtl-Eyring fluids

Part 2: Non-stationary problems 5: Preliminaries 6: Solenoidal Lipschitz truncation 7: Power law fluids

Part 3: Stochastic problems 8: Preliminaries 9: Stochastic PDEs 10: Stochastic power law fluids

Appendix A: Function spaces Appendix B: The A-Stokes system Appendix C: Ito's formula in infinite dimensions
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Review quote

"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 MATH
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About Dominic Breit

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 Saarbrucken (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.
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