This book presents the theory of the linearization method as applied to the problem of steady-state and periodic motions of continuous media. The author proves infinite-dimensional analogues of Lyapunov's theorems on stability, instability, and conditional stability for a large class of continuous media. In addition, semigroup properties for the linearized Navier-Stokes equations in the case of an incompressible fluid are studied, and coercivity inequalities and completeness of a system of small oscillations are proved.

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Bibliographic Details

Title: The Linearization Method in Hydrodynamical Stability Theory
Publisher: American Mathematical Society, US
Publication Date: 1989
Language: English
ISBN 10: 0821845284
ISBN 13: 9780821845288
Binding: Paperback
Condition: New
Weight: 425 grams

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Text: English, Russian (translation)

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