The Linearization Method in Hydrodynamical Stability Theory (Translations of Mathematical Monographs) (English and Russian Edition) - Softcover

V. I. Yudovich

 
9780821845288: The Linearization Method in Hydrodynamical Stability Theory (Translations of Mathematical Monographs) (English and Russian Edition)

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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Language Notes

Text: English, Russian (translation)

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