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Longwave instabilities and patterns ...

Nepomnyashchy, Alexander.

Longwave instabilities and patterns in fluids

Record Type:	Electronic resources : Monograph/item
Title/Author:	Longwave instabilities and patterns in fluidsby Sergey Shklyaev, Alexander Nepomnyashchy.
Author:	Shklyaev, Sergey.
other author:	Nepomnyashchy, Alexander.
Published:	New York, NY :Springer New York :2017.
Description:	xvi, 456 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Fluid dynamicsMathematics.
Online resource:	http://dx.doi.org/10.1007/978-1-4939-7590-7
ISBN:	9781493975907$q(electronic bk.)

Longwave instabilities and patterns in fluids
Shklyaev, Sergey.

Longwave instabilities and patterns in fluids[electronic resource] /by Sergey Shklyaev, Alexander Nepomnyashchy. - New York, NY :Springer New York :2017. - xvi, 456 p. :ill., digital ;24 cm. - Advances in mathematical fluid mechanics,2297-0320. - Advances in mathematical fluid mechanics..

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.

ISBN: 9781493975907$q(electronic bk.)

Standard No.: 10.1007/978-1-4939-7590-7doiSubjects--Topical Terms:

190264
Fluid dynamics
--Mathematics.

LC Class. No.: TA357

Dewey Class. No.: 620.1064

Longwave instabilities and patterns in fluids
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505 0 $a 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.
520 $a 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.
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