ON STABILITY AND INSTABILITY OF SMALL MOTIONS OF HYDRODYNAMICAL SYSTEMS

被引：0
|
作者：
Kopachevsky, N. D. [1 ]
机构：
[1] Taurida Natl V Vernadsky Univ, Math & Comp Sci Fac, 4 Vernadsky Av, UA-95007 Simferopol, Ukraine
来源：
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2007年 / 13卷 / 02期
关键词：
Hydrodynamical systems; Pontryagin space; M. Krein space; Hilbert space; operator approach; operator pencil; stability and instability; differential equation in Hilbert space;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a short survey of an operator approach to some linear evolution and spectral problems of hydrodynamics: small motions and normal oscillations of a heavy or capillary fluid, a partially filled cavity in a moving or immovable vessel. The main attention is given to the problem of stability and instability of these hydromechanical systems with an infinite number of degrees of freedom.
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页码：152 / 168
页数：17
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