Existence Theory for Generalized Newtonian Fluids 1st Edition by Dominic Breit 0128110454 9780128110454

Existence Theory for Generalized Newtonian Fluids 1st Edition by Dominic Breit – Ebook PDF Instant Download/DeliveryISBN:  0128110454, 9780128110454 

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Product details:

ISBN-10 ‏ : ‎0128110454 

ISBN-13 ‏ : ‎9780128110454

Author:    Dominic Breit 

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.

Existence Theory for Generalized Newtonian Fluids 1st Table of contents:

Part 1: Stationary problems
Chapter 1: Preliminaries
Abstract
1.1. Lebesgue & Sobolev spaces
1.2. Orlicz spaces
1.3. Basics on Lipschitz truncation
1.4. Existence results for power law fluids
References
Chapter 2: Fluid mechanics & Orlicz spaces
Abstract
2.1. Bogovskiĭ operator
2.2. Negative norms & the pressure
2.3. Sharp conditions for Korn-type inequalities
References
Chapter 3: Solenoidal Lipschitz truncation
Abstract
3.1. Solenoidal truncation – stationary case
3.2. Solenoidal Lipschitz truncation in 2D
3.3. A-Stokes approximation – stationary case
References
Chapter 4: Prandtl–Eyring fluids
Abstract
4.1. The approximated system
4.2. Stationary flows
References
Part 2: Non-stationary problems
Chapter 5: Preliminaries
Abstract
5.1. Bochner spaces
5.2. Basics on parabolic Lipschitz truncation
5.3. Existence results for power law fluids
References
Chapter 6: Solenoidal Lipschitz truncation
Abstract
6.1. Solenoidal truncation – evolutionary case
6.2. A-Stokes approximation – evolutionary case
References
Chapter 7: Power law fluids
Abstract
7.1. The approximated system
7.2. Non-stationary flows
References
Part 3: Stochastic problems
Chapter 8: Preliminaries
Abstract
8.1. Stochastic processes
8.2. Stochastic integration
8.3. Itô’s Lemma
8.4. Stochastic ODEs
References
Chapter 9: Stochastic PDEs
Abstract
9.1. Stochastic analysis in infinite dimensions
9.2. Stochastic heat equation
9.3. Tools for compactness
References
Chapter 10: Stochastic power law fluids
Abstract
10.1. Pressure decomposition
10.2. The approximated system
10.3. Non-stationary flows

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Tags: Existence Theory, Generalized Newtonian, Fluids, Dominic Breit