The Couette-Taylor Problem: v. 102 (Applied Mathematical Sciences) - Hardcover

Chossat, Pascal; Iooss, Gerard

Hardcover

ISBN 10: 3540941541 ISBN 13: 9783540941545

Publisher: 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.

About this title

From the Back Cover

Chossat introduces the general tools used in the Center Manifold Theorem combined with symmetry and normal forms arguments.

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1994
• Language: English
• ISBN 10: 3540941541
• ISBN 13: 9783540941545
• Binding: Hardcover
• Number of pages: 242