Differential invariants for spherical flows of a viscid fluid

被引：1

作者：

Duyunova, Anna ^{[1
]}

Lychagin, Valentin ^{[1
,2
]}

Tychkov, Sergey ^{[1
]}

机构：

[1] RAS, Inst Control Sci, Moscow, Russia

[2] Univ Tromso, Tromso, Norway

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2018年 / 124卷

基金：

俄罗斯科学基金会;

关键词：

Navier-Stokes equation on sphere; Differential invariants; Hydrodynamics; Lie symmetries;

D O I：

10.1016/j.geomphys.2017.11.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Symmetries and the corresponding algebras of differential invariants of viscid fluids on a sphere are given. Their dependence on thermodynamical states of media is studied, and a classification of thermodynamical states is given. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：436 / 441

页数：6

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