Existence Theory for Generalized Newtonian Fluids 1st Edition by Dominic Breit ISBN 0128110449 9780128110447

Existence Theory for Generalized Newtonian Fluids 1st Edition by Dominic Breit – Ebook PDF Instant Download/Delivery:0128110449, 9780128110447
Full download Existence Theory for Generalized Newtonian Fluids 1st Edition after payment

Product details: 

ISBN 10: 0128110449

ISBN 13: 9780128110447

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.

• Provides the state-of-the-art of the mathematical theory of Generalized Newtonian fluids
• Combines elliptic, parabolic and stochastic problems within existence theory under one umbrella
• Focuses on the construction of the solenoidal Lipschitz truncation, thus enabling readers to apply it to mathematical research
• Approaches stochastic PDEs with a perspective uniquely suitable for analysis, providing an introduction to Galerkin method for SPDEs and tools for compactness

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
References
Appendix A: Function spaces
A.1. Function spaces involving the divergence
A.2. Function spaces involving symmetric gradients
References
Appendix B: The A-Stokes system
B.1. The stationary problem
B.2. The non-stationary problem
B.3. The non-stationary problem in divergence form

People also search for:

newtonian theories

generalized theory of gravitation

newtonian gravity vs general relativity

newtonian theory of gravity

generalized newtonian fluid

Tags:

Dominic Breit,Existence,Newtonian