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

[41] HYDRODYNAMICAL STABILITY OF A SALT WEDGE
LEE, FA
TRANSACTIONS-AMERICAN GEOPHYSICAL UNION, 1969, 50 (11): : 627 - &
[42] HYDRODYNAMICAL INSTABILITY OF MELT FLOW IN LASER CUTTING
VICANEK, M
SIMON, G
URBASSEK, HM
DECKER, I
JOURNAL OF PHYSICS D-APPLIED PHYSICS, 1987, 20 (01) : 140 - 145
[43] HYDRODYNAMICAL INSTABILITY OF INTERNAL WAVES WITH NONSTATIONARY SHEAR
KOROTAEV, GK
PANTELEYEV, NA
IZVESTIYA AKADEMII NAUK SSSR FIZIKA ATMOSFERY I OKEANA, 1977, 13 (10): : 1044 - 1056
[44] BIFURCATION AND STABILITY OF SET MOTIONS OF COMPLEX MECHANICAL SYSTEMS
MOROZOV, VM
RUBANOVSKII, VN
RUMYANTSEV, VV
SAMSONOV, VA
PRIKLADNAYA MATEMATIKA I MEKHANIKA, 1973, 37 (03): : 387 - 399
[45] SEMI-STABILITY OF SETS AND MOTIONS IN PSEUDODYNAMICAL SYSTEMS
PELCZAR, A
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1977, 25 (07): : 633 - 642
[46] PROPAGATION AND STABILITY OF WAVE MOTIONS IN ROTATING MAGNETIC SYSTEMS
ELTAYEB, IA
PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 1981, 24 (04) : 259 - 271
[47] STABILITY OF STATIONARY MOTIONS OF MECHANICAL SYSTEMS IN RESISTING MEDIA
TERJEKI, J
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1982, (05): : 84 - 86
[48] Stability of the periodic motions of the vibro-impact systems
Brîndeu, L
CHAOS SOLITONS & FRACTALS, 2000, 11 (15) : 2493 - 2503
[49] Stability and instability of controlled motions of a two-mass pendulum of variable length
V. S. Aslanov
S. P. Bezglasnyi
Mechanics of Solids, 2012, 47 : 285 - 297
[50] Stability and Instability of Controlled Motions of a Two-Mass Pendulum of Variable Length
Aslanov, V. S.
Bezglasnyi, S. P.
MECHANICS OF SOLIDS, 2012, 47 (03) : 285 - 297

← 1 2 3 4 5 →