Ebook: Hydrodynamic stability theory
Author: Adelina Georgescu (auth.)
- Tags: Analysis, Mechanics
- Series: Mechanics: Analysis 9
- Year: 1985
- Publisher: Springer Netherlands
- Edition: 2
- Language: English
- pdf
The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms.
Content:
Front Matter....Pages 1-10
Introduction....Pages 11-15
Classical Hydrodynamic Stability....Pages 17-76
Generalized Solutions in Hydrodynamic Stability....Pages 77-151
Branching and Stability of Solutions of the Navier-Stokes Equations....Pages 152-211
Nature of Turbulence....Pages 212-230
The Influence of the Presence of a Porous Medium on Hydrodynamic Stability....Pages 231-247
Back Matter....Pages 248-307
Content:
Front Matter....Pages 1-10
Introduction....Pages 11-15
Classical Hydrodynamic Stability....Pages 17-76
Generalized Solutions in Hydrodynamic Stability....Pages 77-151
Branching and Stability of Solutions of the Navier-Stokes Equations....Pages 152-211
Nature of Turbulence....Pages 212-230
The Influence of the Presence of a Porous Medium on Hydrodynamic Stability....Pages 231-247
Back Matter....Pages 248-307
....