Conserved integrals for inviscid compressible fluid flow in Riemannian manifolds

被引：11

作者：

Anco, Stephen C. ^{[1
]}

Dar, Amanullah ^{[1
,2
]}

Tufail, Nazim ^{[3
]}

机构：

[1] Brock Univ, Dept Math & Stat, St Catharines, ON L2S 3A1, Canada

[2] Mirpur Univ Sci & Technol, Dept Math, Mirpur, AJ&K, Pakistan

[3] Quaid i Azam Univ, Dept Math, Islamabad, Pakistan

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2015年 / 471卷 / 2182期

基金：

加拿大自然科学与工程研究理事会;

关键词：

compressible fluid; conserved integral; kinematic conservation law; moving domain; moving surface; SPATIAL DIMENSIONS; LAWS; CLASSIFICATION; HYDRODYNAMICS; EQUATIONS;

D O I：

10.1098/rspa.2015.0223

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

An explicit determination of all local conservation laws of kinematic type on moving domains and moving surfaces is presented for the Euler equations of inviscid compressible fluid flow in curved Riemannian manifolds in n>1 dimensions. All corresponding kinematic constants of motion are also determined, along with all Hamiltonian kinematic symmetries and kinematic Casimirs which arise from the Hamiltonian structure of the inviscid compressible fluid equations.

引用

页数：24

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