The Linearization Method in Hydrodynamical Stability Theory
V. I. Yudovich
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.
Kategoriler:
Yıl:
1989
Yayımcı:
American Mathematical Society
Dil:
english
Sayfalar:
170
ISBN 10:
0821845284
ISBN 13:
9780821845288
Seriler:
Translations of Mathematical Monographs, v74
Dosya:
DJVU, 1.65 MB
IPFS:
,
english, 1989
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