Longwave Instabilities and Patterns in Fluids
Seiten
2017
|
1st ed. 2017
Springer-Verlag New York Inc.
978-1-4939-7588-4 (ISBN)
Springer-Verlag New York Inc.
978-1-4939-7588-4 (ISBN)
This book summarizes the main advances in the field of nonlinear evolution and pattern formation caused by longwave instabilities in fluids. It will allow readers to master the multiscale asymptotic methods and become familiar with applications of these methods in a variety of physical problems.
Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout.
This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics.
Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout.
This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics.
Introduction.- Convection in Cylindrical Cavities.- Convection in Liquid Layers.- Convection in Binary Liquids. Amplitude Equations for Stationary and Oscillatory Patterns.- Instabilities of Parallel Flows.- Instabilities of Fronts.- Longwave Modulations of Shortwave Patterns.- Control of Longwave Instabilities.- Outlook.- A. Solvability Conditions for an Inhomogenous Linear Boundary Value Problem.- B. Types of Bifurcations.- C. Stationary Pattern Selection.- D. Regular Wave Patterns.- E. Resonant Perturbations.
| Erscheinungsdatum | 27.01.2018 |
|---|---|
| Reihe/Serie | Advances in Mathematical Fluid Mechanics |
| Zusatzinfo | 18 Illustrations, color; 47 Illustrations, black and white; XVI, 456 p. 65 illus., 18 illus. in color. |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Technik ► Maschinenbau | |
| Schlagworte | Control of Instabilities • convection • Front Instabilities • Longwave Instability • nonlinear evolution equations • Nonlinear Stability Theory • pattern formation |
| ISBN-10 | 1-4939-7588-9 / 1493975889 |
| ISBN-13 | 978-1-4939-7588-4 / 9781493975884 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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