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The Linearization Method in Hydrodynamical Stability Theory

โœ Scribed by V. I. Yudovich

Publisher
American Mathematical Society
Year
1989
Tongue
English
Leaves
180
Series
Translations of Mathematical Monographs, v74
Edition
0
Category
Library
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โœฆ Synopsis

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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