NON-LINEAR STABILITY CONDITIONS AND A PRIORI ESTIMATES FOR BAROTROPIC HYDRODYNAMICS

被引：52

作者：

HOLM, DD

MARSDEN, JE

RATIU, T

WEINSTEIN, A

机构：

[1] UNIV CALIF BERKELEY,DEPT MATH,BERKELEY,CA 94720

[2] UNIV ARIZONA,DEPT MATH,TUCSON,AZ 85721

[3] UNIV CALIF LOS ALAMOS NATL LAB,DIV THEORET,LOS ALAMOS,NM 87545

来源：

PHYSICS LETTERS A | 1983年 / 98卷 / 1-2期

关键词：

D O I：

10.1016/0375-9601(83)90534-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：15 / 21

页数：7

共 21 条

[1] SUR LA GEOMETRIE DIFFERENTIELLE DES GROUPES DE LIE DE DIMENSION INFINIE ET SES APPLICATIONS A LHYDRODYNAMIQUE DES FLUIDES PARFAITS [J].

ARNOLD, V .

ANNALES DE L INSTITUT FOURIER, 1966, 16 (01) :319-&

[2]

Arnold V.I, 1965, DOKL MAT NAUK, V162, P773

[3]

Arnold V. I, 1989, MATH METHODS CLASSIC, VSecond, DOI DOI 10.1007/978-1-4757-1693-1

[4]

BALL J, 1983, UNPUB QUASICONVEXITY

[5]

BALL JM, 1978, SPRINGER LECT NOTES, V466, P41

[6] ON NON-LINEAR HYDRODYNAMIC STABILITY OF PLANETARY VORTICES [J].

BENZI, R ;

PIERINI, S ;

VULPIANI, A ;

SALUSTI, E .

GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 1982, 20 (3-4) :293-306

[7] WAVES IN A PLASMA IN A MAGNETIC FIELD [J].

BERNSTEIN, IB .

PHYSICAL REVIEW, 1958, 109 (01) :10-21

[8]

Drazin P G, 1981, HYDRODYNAMIC STABILI

[9] GROUPS OF DIFFEOMORPHISMS AND MOTION OF AN INCOMPRESSIBLE FLUID [J].

EBIN, DG ;

MARSDEN, J .

ANNALS OF MATHEMATICS, 1970, 92 (01) :102-&

[10] POISSON BRACKETS AND CLEBSCH REPRESENTATIONS FOR MAGNETOHYDRODYNAMICS, MULTIFLUID PLASMAS, AND ELASTICITY [J].

HOLM, DD ;

KUPERSHMIDT, BA .

PHYSICA D, 1983, 6 (03) :347-363

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