Pub. Date:
Springer New York
Longwave Instabilities and Patterns in Fluids

Longwave Instabilities and Patterns in Fluids

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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.

Product Details

ISBN-13: 9781493975884
Publisher: Springer New York
Publication date: 12/09/2017
Series: Advances in Mathematical Fluid Mechanics
Edition description: 1st ed. 2017
Pages: 456
Product dimensions: 6.10(w) x 9.25(h) x (d)

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.

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