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The Couette-Taylor Problem - Pascal Chossat, Gerard Iooss
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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. Pascal Chossat, Gerard Iooss, Books, Science and Nature, The Couette-Taylor Problem Books>Science and Nature, Springer New York

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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. The Couette-Taylor Problem Chossat, P. / Chossat, Pascal / Iooss, Gerard, Springer

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Details zum Buch
The Couette-Taylor Problem

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.

Detailangaben zum Buch - The Couette-Taylor Problem


EAN (ISBN-13): 9780387941547
ISBN (ISBN-10): 0387941541
Gebundene Ausgabe
Erscheinungsjahr: 1994
Herausgeber: Springer-Verlag GmbH
252 Seiten
Gewicht: 0,543 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 13.11.2007 21:30:25
Buch zuletzt gefunden am 14.01.2018 18:42:58
ISBN/EAN: 9780387941547

ISBN - alternative Schreibweisen:
0-387-94154-1, 978-0-387-94154-7


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