Longwave Instabilities and Patterns in Fluids

• Main Authors: Shklyaev, Sergey (Author), Nepomnyashchy, Alexander (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Birkhäuser, 2017.
• Series: Advances in Mathematical Fluid Mechanics,
• Subjects: Mathematics.; Mathematical physics.; Fluids.; Fluid mechanics.; Mathematical Applications in the Physical Sciences.; Fluid- and Aerodynamics.; Mathematical Physics.; Engineering Fluid Dynamics.

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.  Lo...

Table of Contents:

• 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.