Linearization Method in Hydrodynamical Stability Theory
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A01=J.R. Schulenberger
A01=V.I. Yudovich
Author_J.R. Schulenberger
Author_V.I. Yudovich
Category=PB
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Product details
- ISBN 9780821845288
- Weight: 425g
- Publication Date: 30 Dec 1989
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
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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.
