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

共 50 条

[31] The stability of motions of hereditary systems with infinite delay
Pavlikov, S. V.
DOKLADY MATHEMATICS, 2007, 76 (02) : 678 - 680
[32] STABILITY OF SETS AND MOTIONS IN GENERALIZED PSEUDODYNAMICAL SYSTEMS
OMBACH, J
TRZEPIZUR, A
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1974, 22 (02): : 153 - 155
[33] The stability of motions of hereditary systems with infinite delay
S. V. Pavlikov
Doklady Mathematics, 2007, 76 : 678 - 680
[34] On the circular Sitnikov problem: the alternation of stability and instability in the family of vertical motions
Sidorenko, Vladislav V.
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2011, 109 (04): : 367 - 384
[35] On the circular Sitnikov problem: the alternation of stability and instability in the family of vertical motions
Vladislav V. Sidorenko
Celestial Mechanics and Dynamical Astronomy, 2011, 109 : 367 - 384
[36] HYDRODYNAMICAL STABILITY OF SALT WEDGE
LEE, FA
JOURNAL OF THE HYDRAULICS DIVISION-ASCE, 1974, 100 (NHY1): : 17 - 23
[37] TESTS FOR STABILITY AND INSTABILITY OF INTERCONNECTED SYSTEMS
MOYLAN, PJ
HILL, DJ
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (04) : 574 - 575
[38] ASYMPTOTIC STABILITY AND INSTABILITY OF NONAUTONOMOUS SYSTEMS
ANDREEV, AS
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1979, 43 (05): : 855 - 865
[39] EXISTENCE OF PERIODIC MOTIONS AND OF MOTIONS OF A SPECIAL KIND OF HAMILTONIAN SYSTEMS WITH A SMALL PARAMETER
DERGUZOV, VI
DOKLADY AKADEMII NAUK SSSR, 1969, 186 (04): : 757 - &
[40] HYDRODYNAMICAL STABILITY OF SALT WEDGE
KAZMANN, RG
JOURNAL OF THE HYDRAULICS DIVISION-ASCE, 1974, 100 (NHY9): : 1298 - 1301

← 1 2 3 4 5 →