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The Linearization Method in Hydrodynamical Stability Theory.
・ISBN 978-0-8218-4528-8 paper US$ 165.00
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| 著者・編者 | Yudovich, V.I. / Schulenberger, J.R., |
|---|---|
| シリーズ | Translations of Mathematical Monographs |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 1989 |
| ページ数 | 170 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-12510＞ |
解説
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.