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＜電子ブック＞
Longwave Instabilities and Patterns in Fluids / by Sergey Shklyaev, Alexander Nepomnyashchy
(Advances in Mathematical Fluid Mechanics. ISSN:22970339)

版	1st ed. 2017.
出版者	(New York, NY : Springer New York : Imprint: Birkhäuser)
出版年	2017
本文言語	英語
大きさ	XVI, 456 p. 65 illus., 18 illus. in color : online resource
著者標目	*Shklyaev, Sergey author Nepomnyashchy, Alexander author SpringerLink (Online service)
件　名	LCSH:Mathematical physics LCSH:Continuum mechanics LCSH:Fluid mechanics FREE:Mathematical Physics FREE:Continuum Mechanics FREE:Engineering Fluid Dynamics
一般注記	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 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. HTTP:URL=https://doi.org/10.1007/978-1-4939-7590-7

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