| Softcover ISBN: | 978-0-8218-4528-8 |
| Product Code: | MMONO/74 |
| List Price: | $80.00 |
| MAA Member Price: | $72.00 |
| AMS Member Price: | $64.00 |
| Electronic ISBN: | 978-1-4704-4488-4 |
| Product Code: | MMONO/74.E |
| List Price: | $75.00 |
| MAA Member Price: | $67.50 |
| AMS Member Price: | $60.00 |
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Book DetailsTranslations of Mathematical MonographsVolume: 74; 1989; 170 ppMSC: Primary 76; Secondary 35;
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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Table of Contents
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Chapters
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Introduction
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Estimates of solutions of the linearized Navier-Stokes equations
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Stability of fluid motion
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Stability of periodic motions
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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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Chapters
-
Introduction
-
Estimates of solutions of the linearized Navier-Stokes equations
-
Stability of fluid motion
-
Stability of periodic motions
