1994, ISBN: 0387941541
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[EAN: 9780387941547], New book, [PU: Springer New York], FINITE; INVARIANT; MANIFOLD; NAVIER-STOKESEQUATION; AVERAGE; DIFFERENTIALEQUATION; EQUATION; FLUIDMECHANICS; FUNCTION; GEOMETRY; P… Altro …
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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… Altro …
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1994, ISBN: 0387941541
edizione con copertina rigida
[EAN: 9780387941547], New book, [PU: Springer New York], FINITE; INVARIANT; MANIFOLD; NAVIER-STOKESEQUATION; AVERAGE; DIFFERENTIALEQUATION; EQUATION; FLUIDMECHANICS; FUNCTION; GEOMETRY; P… Altro …
ISBN: 9780387941547
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… Altro …
1994
ISBN: 0387941541
[EAN: 9780387941547], Near Fine, [PU: Springer-Verlag New York Inc.], Ancien livre de bibliothèque. Légères traces d'usure sur la couverture. Tampon ou marque sur la face intérieure de la… Altro …
2011, ISBN: 9780387941547
edizione con copertina rigida
[ED: Hardcover/gebunden], [PU: Springer], 1. Auflage, 1994, Bibliotheksexemplar * Seiten: sehr sauber, wie ungelesen * Versand innerhalb 24h, Rechnung mit ausgewiesener MwSt, zuverlässige… Altro …
ISBN: 9780387941547
hardback, [PU: Springer]
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Informazioni dettagliate del libro - The Couette-Taylor Problem by Pascal Chossat Hardcover | Indigo Chapters
EAN (ISBN-13): 9780387941547
ISBN (ISBN-10): 0387941541
Copertina rigida
Anno di pubblicazione: 1994
Editore: Pascal Chossat
252 Pagine
Peso: 0,543 kg
Lingua: eng/Englisch
Libro nella banca dati dal 2007-11-13T21:30:25+01:00 (Zurich)
Pagina di dettaglio ultima modifica in 2023-08-09T07:46:40+02:00 (Zurich)
ISBN/EAN: 0387941541
ISBN - Stili di scrittura alternativi:
0-387-94154-1, 978-0-387-94154-7
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : pascal chossat gerard iooss, looss
Titolo del libro: the couette taylor problem applied mathematical sciences
Dati dell'editore
Autore: Pascal Chossat; Gerard Iooss
Titolo: Applied Mathematical Sciences; The Couette-Taylor Problem
Editore: Springer; Springer US
234 Pagine
Anno di pubblicazione: 1994-03-11
New York; NY; US
Peso: 1,160 kg
Lingua: Inglese
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
X, 234 p.
BB; Analysis; Hardcover, Softcover / 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; Analysis; BC; EA
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.1.1 Basic formulation.- II.1.2 Nondimensionalization.- II.1.3 Couette flow and the perturbation.- II.1.4 Symmetries.- II.1.5 Small gap case.- II.1.5.1 Case when the average rotation rate is very large versus the difference ?1 — ?2.- II.1.5.2 Case when the rotation rate of the inner cylinder is very large.- II.2 Functional frame and basic properties.- II.2.1 Projection on divergence-free vector fields.- II.2.2 Alternative choice for the functional frame.- II.2.3 Main results for the nonlinear evolution problem.- II.3 Linear stability analysis.- II.4 Center Manifold Theorem.- III Taylor Vortices, Spirals and Ribbons.- III.1 Taylor vortex flow.- III.1.1 Steady-state bifurcation with O(2)-symmetry.- III.1.2 Identification of the coefficients in the amplitude equation.- III.1.3 Geometrical pattern of the Taylor cells.- III.2 Spirals and ribbons.- III.2.1 The Hopf bifurcation with O(2)-symmetry.- III.2.2 Application to the Couette-Taylor problem.- III.2.3 Geometrical structure of the flows.- III.2.3.1 Spirals.- III.2.3.2 Ribbons.- III.3 Higher codimension bifurcations.- III.3.1 Weakly subcritical Taylor vortices.- III.3.2 Competition between spirals and ribbons.- IV Mode Interactions.- IV.1 Interaction between an axisymmetric and a nonaxisymmetric mode.- IV.1.1 The amplitude equations (6 dimensions).- IV.1.2 Restriction of the equations to flow-invariant subspaces.- IV.1.3 Bifurcated solutions.- IV.1.3.1 Primary branches.- IV.1.3.2 Wavy vortices.- IV.1.3.3 Twisted vortices.- IV.1.4 Stability of the bifurcated solutions.- IV.1.4.1 Taylor vortices.- IV.1.4.2 Spirals.- IV.1.4.3 Ribbons.- IV.1.4.4 Wavy vortices.- IV.1.4.5 Twisted vortices.- IV.1.5 A numerical example.- IV.1.6 Bifurcation with higher codimension.- IV.2 Interaction between two nonaxisymmetric modes.- IV.2.1 The amplitude equations (8 dimensions).- IV.2.2 Restriction of the equations to flow-invariant subspaces.- IV.2.3 Bifurcated solutions.- IV.2.3.1 Primary branches.- IV.2.3.2 Interpenetrating spirals (first kind).- IV.2.3.3 Interpenetrating spirals (second kind).- IV.2.3.4 Superposed ribbons (first kind).- IV.2.3.5 Superposed ribbons (second kind).- IV.2.4 Stability of the bifurcated solutions.- IV.2.4.1 Stability of the m-spirals.- IV.2.4.2 Stability of the (m + 1)-spirals.- IV.2.4.3 Stability of the m-ribbons.- IV.2.4.4 Stability of the (m + 1)-ribbons.- IV.2.4.5 Stability of the interpenetrating spirals SI(0,3) and SI(1,2).- IV.2.4.6 Stability of the interpenetrating spirals SI(1,3) and SI(0,2).- IV.2.4.7 Stability of the superposed ribbons RS(0).- IV.2.4.8 Stability of the superposed ribbons RS(?).- IV.2.5 Further bifurcations.- IV.2.6 Two numerical examples.- V Imperfections on Primary Bifurcations.- V.1 General setting when the geometry of boundaries is perturbed.- V.1.1 Reduction to an equation in H(Qh).- V.1.2 Amplitude equations.- V.2 Eccentric cylinders.- V.2.1 Effect on Taylor vortices.- V.2.2 Computation of the coefficient b.- V.2.3 Effect on spirals and ribbons.- V.3 Little additional flux.- V.3.1 Perturbed Taylor vortices lead to traveling waves.- V.3.2 Identification of coefficients d and e.- V.3.3 Effects on spirals and ribbons.- V.4 Periodic modulation of the shape of cylinders in the axial direction.- V.4.1 Effect on Taylor vortices.- V.4.2 Effects on spirals and ribbons.- V.5 Time-periodic perturbation.- V.5.1 Perturbed Taylor vortices.- V.5.2 Perturbation of spirals and ribbons.- VI Bifurcation from Group Orbits of Solutions.- VI.1 Center manifold for group orbits.- VI.1.1 Group orbits of first bifurcating solutions.- VI.1.1.1 Taylor vortex flow.- VI.1.1.2 Spirals.- VI.1.1.3 Ribbons.- VI.1.2 The center manifold reduction for a group-orbit of steady solutions.- VI.2 Bifurcation from the Taylor vortex flow.- VI.2.1 The stationary case.- VI.2.1.1 No symmetry breaking.- VI.2.1.2 Breaking reflectional symmetry creates a traveling wave.- VI.2.1.3 Doubling the axial wave length.- VI.2.1.4 Doubling the axial wave length and breaking reflectional symmetry.- VI.2.2 Hopf bifurcation from Taylor vortices.- VI.3 Bifurcation from the spirals.- VI.4 Bifurcation from ribbons.- VI.4.1 The stationary case.- VI.4.1.1 No symmetry breaking.- VI.4.1.2 Breaking the twist symmetry.- VI.4.1.3 Breaking the reflectional symmetry (stationary bifurcation creating a traveling wave).- VI.4.1.4 Breaking the reflectional and twist symmetries.- VI.4.2 Hopf bifurcation from ribbons.- VI.4.2.1 Breaking the twist symmetry.- VI.4.2.2 Breaking the twist and reflectional symmetries.- VI.5 Bifurcation from wavy vortices, modulated wavy vortices.- VI.5.1 Hopf bifurcation of wavy vortices into modulated wavy vortices.- VI.5.2 Steady bifurcation of the wavy vortices into a quasi-periodic flow with a slow drift.- VI.6 Codimension-two bifurcations from Taylor vortex flow.- VII Large-scale EfTects.- VII. 1 Steady solutions in an infinite cylinder.- VII.1.1 A center manifold for steady Navier-Stokes equations.- VII.1.2 Resolution of the four-dimensional amplitude equations.- VII.1.2.1 The normal form.- VII.1.2.2 Integrability of the reduced system..- VII.1.2.3 Periodic solutions of the amplitude equations.- VII.1.2.4 Other solutions of the amplitude equations.- VII.1.2.5 Quasi-periodic solutions.- VII.1.2.6 Eckhaus points E and E?.- VII.1.2.7 Homoclinic solutions.- VII.2 Time-periodic solutions in an infinite cylinder.- VII.2.1 Center manifold for time-periodic Navier-Stokes equations.- VII.2.2 Spectrum of $$\\kappa \\mu ,\\omega $$ near criticality.- VII.2.3 Resolution of the four-dimensional amplitude equations. New solutions.- VII.3 Ginzburg-Landau equation.- VIII Small Gap Approximation.- VIII.1 Introduction.- VIII.2 Choice of scales and limiting system.- VIII.2.1 Choice of scales.- VIII.2.2 Limiting system.- VIII.3 Linear stability analysis.- VIII.4 Ginzburg-Landau equations.- VIII.4.1 Case (i).- VIII.4.2 Case (ii).- VIII.4.3 Case (iii).Altri libri che potrebbero essere simili a questo:
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