LAX REPRESENTATION OF RIEMANN ELLIPSOIDS

被引：5

作者：

ROSENSTEEL, G ^{[1
]}

机构：

[1] TULANE UNIV,DEPT PHYS,NEW ORLEANS,LA 70118

来源：

APPLIED MATHEMATICS LETTERS | 1993年 / 6卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0893-9659(93)90034-K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The fluid dynamical equations of motion for rotating Riemann ellipsoids are presented as a Lax equation, X = [F, X]. Riemann ellipsoids model rotating galaxies, stars, and atomic nuclei. The elements of the Lax pair X-F are matrices in the symplectic Lie algebra sp(3, R). The matrix X is formed from the inertia and virial momentum tensors; F is composed from the potential energy, angular velocity, and pressure tensors. The Kelvin circulation is conserved by the Lax system. Riemann ellipsoidal solutions are given by symplectic isospectral deformations.

引用

页码：55 / 58

页数：4

共 14 条

[1]

ABRAHAM R, 1978, F MECHANICS

[2]

Chandrasekhar S., 1969, Ellipsoidal figures of equilibrium

[3] EQUILIBRIUM CONFIGURATIONS OF ROTATING CHARGED OR GRAVITATING LIQUID MASSES WITH SURFACE-TENSION .2. [J].