Dominic Breit

Existence Theory for Generalized Newtonian Fluids

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Verlag: Academic Press / Elsevier Science & Technology
• Artikelnr. des Verlages: C2015-0-06686-2
• Seitenzahl: 286
• Erscheinungstermin: 23. März 2017
• Englisch
• Abmessung: 154mm x 228mm x 17mm
• Gewicht: 450g
• ISBN-13: 9780128110447
• ISBN-10: 0128110449
• Artikelnr.: 47488905

Autorenporträt

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.

Inhaltsangabe

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

Rezensionen

"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