The Couette-Taylor Problem - Couverture rigide

Chossat, Pascal; Iooss, Gerard

Couverture rigide

ISBN 10 : 3540941541 ISBN 13 : 9783540941545

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1994

Synopsis

This monograph presents a systematic and unified approach to the non-linear stability problem and transitions in the Couette-Taylor problem, by the means of analytic and constructive methods. The most "elementary" one-parameter theory is first presented. More complex situations are then analyzed (mode interactions, imperfections, non-spatially periodic patterns). The whole analysis is based on the mathematically rigorous theory of centre manifold and normal forms, and symmetries are fully taken into account. These methods are very general and can be applied to other hydrodynamical instabilities, or more generally to physical problems modelled by partial differential equations.

A propos du livre

Présentation de l'éditeur

This book presents a systematic and unified approach to the nonlinear stability problem and transitions in the Couette-Taylor problem, by the means of analytic and constructive methods. The most "elementary" one-parameter theory is first presented with great detail. More complex situations are then analyzed (mode interactions, imperfections, non-spatially periodic patterns). The whole analysis is based on the mathematically rigorous theory of center manifold and normal forms, and symmetries are fully taken into account. These methods are very general and can be applied to other hydrodynamical instabilities, or more generally to physical problems modelled by partial differential equations. Non-mathematician readers can skip the mathematically "hard" parts of the book and still catch the ideas and results. This book is primarily intended for graduate students and researchers in fluid mechanics, and more generally for applied mathematicians and physicists who are interested in the analysis of instabilities in systems governed by partial differential equations.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1994
• Langue: anglais
• ISBN 10: 3540941541
• ISBN 13: 9783540941545
• Reliure: Relié
• Nombre de pages: 242
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible