Existence Theory for Generalized Newtonian Fluids

This work provides a rigorous mathematical treatment of the existence of weak solutions to generalized Navier-Stokes equations modelling Non-Newtonian fluid flows

Dominic Breit (Author)

9780128110447, Elsevier Science

Paperback, published 23 March 2017

286 pages
22.9 x 15.1 x 1.9 cm, 0.45 kg

"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

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.

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

Subject Areas: Biochemistry [PSB], Applied mathematics [PBW]