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.

引用

页码：152 / 168

页数：17

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