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The Couette-Taylor Problem - new book

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1. 1 A paradigm About one hundred years ago, Maurice Couette, a French physicist, de­ signed an apparatus consisting of two coaxial cylinders, the space between the cylinders being filled… More...

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Pascal Chossat; Gerard Iooss:

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Couette-Taylor Problem - new book

2012, ISBN: 9781461243007

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The Couette-Taylor Problem
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9781461243007

Details of the book - The Couette-Taylor Problem


EAN (ISBN-13): 9781461243007
Publishing year: 2012
Publisher: Springer New York

Book in our database since 2017-02-24T09:52:23-05:00 (New York)
Detail page last modified on 2023-07-05T04:00:39-04:00 (New York)
ISBN/EAN: 9781461243007

ISBN - alternate spelling:
978-1-4612-4300-7
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Book author: iooss

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Author: Pascal Chossat; Gerard Iooss
Title: Applied Mathematical Sciences; The Couette-Taylor Problem
Publisher: Springer; Springer US
234 Pages
Publishing year: 2012-12-06
New York; NY; US
Language: English
96,29 € (DE)
99,00 € (AT)
118,00 CHF (CH)
Available
X, 234 p.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Finite; Invariant; Manifold; Navier-Stokes equation; average; differential equation; equation; fluid mechanics; function; geometry; partial differential equation; stability; theorem; vortices; waves; C; Analysis; Mathematics and Statistics; BC

I Introduction.- I.1 A paradigm.- I.2 Experimental results.- I.3 Modeling for theoretical analysis.- I.4 Arrangements of topics in the text.- II Statement of the Problem and Basic Tools.- II.1 Nondimensionalization, parameters.- II.2 Functional frame and basic properties.- II.3 Linear stability analysis.- II.4 Center Manifold Theorem.- III Taylor Vortices, Spirals and Ribbons.- III.1 Taylor vortex flow.- III.2 Spirals and ribbons.- III.3 Higher codimension bifurcations.- IV Mode Interactions.- IV.1 Interaction between an axisymmetric and a nonaxisymmetric mode.- IV.2 Interaction between two nonaxisymmetric modes.- V Imperfections on Primary Bifurcations.- V.1 General setting when the geometry of boundaries is perturbed.- V.2 Eccentric cylinders.- V.3 Little additional flux.- V.4 Periodic modulation of the shape of cylinders in the axial direction.- V.5 Time-periodic perturbation.- VI Bifurcation from Group Orbits of Solutions.- VI.1 Center manifold for group orbits.- VI.2 Bifurcation from the Taylor vortex flow.- VI.3 Bifurcation from the spirals.- VI.4 Bifurcation from ribbons.- VI.5 Bifurcation from wavy vortices, modulated wavy vortices.- VI.6 Codimension-two bifurcations from Taylor vortex flow.- VII Large-scale EfTects.- VII. 1 Steady solutions in an infinite cylinder.- VII.2 Time-periodic solutions in an infinite cylinder.- VII.3 Ginzburg-Landau equation.- VIII Small Gap Approximation.- VIII.1 Introduction.- VIII.2 Choice of scales and limiting system.- VIII.3 Linear stability analysis.- VIII.4 Ginzburg-Landau equations.
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