Lorentz-like covariant equations of non-relativistic fluids

被引:19
|
作者
de Montigny, M
Khanna, FC
Santana, AE
机构
[1] Univ Alberta, Fac St Jean, Edmonton, AB T6C 4G9, Canada
[2] Univ Alberta, Inst Theoret Phys, Edmonton, AB T6G 2J1, Canada
[3] TRIUMF, Vancouver, BC V6T 2A3, Canada
[4] Univ Fed Bahia, Inst Fis, BR-40210340 Salvador, BA, Brazil
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 08期
关键词
D O I
10.1088/0305-4470/36/8/301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We use a geometrical formalism of Galilean invariance to build various hydrodynamics models. It consists in embedding the Newtonian spacetime into a non-Euclidean 4+1 space and provides thereby a procedure that unifies models otherwise apparently unrelated. After expressing the Navier-Stokes equation within this framework, we show that slight modifications of its Lagrangian allow us to recover the Chaplygin equation of state as well as models of superfluids for liquid helium (with both its irrotational and rotational components). Other fluid equations are also expressed in a covariant form.
引用
收藏
页码:2009 / 2026
页数:18
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