AN EXACT LOCAL CONSERVATION THEOREM FOR FINITE-AMPLITUDE DISTURBANCES TO NONPARALLEL SHEAR FLOWS, WITH REMARKS ON HAMILTONIAN-STRUCTURE AND ON ARNOLD STABILITY THEOREMS

被引:194
作者
MCINTYRE, ME
SHEPHERD, TG
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D O I
10.1017/S0022112087002209
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O3 [力学];
学科分类号
08 ; 0801 ;
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页码:527 / 565
页数:39
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共 106 条
[1]   RICHARDSON-NUMBER CRITERION FOR THE NONLINEAR STABILITY OF 3-DIMENSIONAL STRATIFIED FLOW [J].
ABARBANEL, HDI ;
HOLM, DD ;
MARSDEN, JE ;
RATIU, T .
PHYSICAL REVIEW LETTERS, 1984, 52 (26) :2352-2355
[2]   NONLINEAR STABILITY ANALYSIS OF STRATIFIED FLUID EQUILIBRIA [J].
ABARBANEL, HDI ;
HOLM, DD ;
MARSDEN, JE ;
RATIU, TS .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1986, 318 (1543) :349-409
[3]  
ABRAHAM R, 1978, F MECHANICS
[4]   A SUDDEN WARMING IN THE MIDDLE ATMOSPHERE OF THE SOUTHERN-HEMISPHERE [J].
ALAJMI, DN ;
HARWOOD, RS ;
MILES, T .
QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, 1985, 111 (468) :359-389
[5]  
ANDREWS DG, 1983, J ATMOS SCI, V40, P85, DOI 10.1175/1520-0469(1983)040<0085:ACLFSA>2.0.CO
[6]  
2
[7]   A NOTE ON POTENTIAL-ENERGY DENSITY IN A STRATIFIED COMPRESSIBLE FLUID [J].
ANDREWS, DG .
JOURNAL OF FLUID MECHANICS, 1981, 107 (JUN) :227-236
[8]   WAVE-ACTION AND ITS RELATIVES [J].
ANDREWS, DG ;
MCINTYRE, ME .
JOURNAL OF FLUID MECHANICS, 1978, 89 (DEC) :647-664
[9]   EXACT THEORY OF NON-LINEAR WAVES ON A LAGRANGIAN-MEAN FLOW [J].
ANDREWS, DG ;
MCINTYRE, ME .
JOURNAL OF FLUID MECHANICS, 1978, 89 (DEC) :609-646
[10]  
ANDREWS DG, 1978, J FLUID MECH, V95, P796