ON THE CASIMIR INVARIANT OF HAMILTONIAN FLUID-MECHANICS

被引：6
|
作者：
KURODA, Y
机构：
[1] Meteorological College, Kashiwa, Asahi-cho
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1991年 / 60卷 / 03期
关键词：
HAMILTONIAN; FLUID MECHANICS; SINGULAR POISSON BRACKET; ADIABATIC FLUID; POTENTIAL VORTICITY; CASIMR; GENERALIZED ENSTROPHY;
D O I：
10.1143/JPSJ.60.727
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate a singular Poisson bracket which appears in Hamiltonian fluid mechanics. It is shown that we can get the most general Casimir for such systems by solving the functional equations which correspond to zero eigenvalue equations. Especially, in the case of a three-dimensional adiabatic perfect fluid, the most general Casimir is shown to be the generalized enstrophy only.
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页码：727 / 730
页数：4
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