The Linearization Method in Hydrodynamical Stability Theory (Translations of Mathematical Monographs)
The Linearization Method in Hydrodynamical Stability Theory (Translations of Mathematical Monographs) by V. I. Yudovich
English | 1989 | ISBN: 0821845284 | ISBN-13: 9780821845288 | 170 pages | DJVU | 1,6 MB
English | 1989 | ISBN: 0821845284 | ISBN-13: 9780821845288 | 170 pages | DJVU | 1,6 MB
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.