纺织高校基础科学学报2016，Vol.29Issue(3)：275-285,290,12.DOI:10.13338/j.issn.1006-8341.2016.03.001
流体力学的数学基础
Mathematical foundations of fluid dynamics
摘要
Abstract
In order to further study the theory of lubrication,by the use of chain rule,the Euler' s form of velocity vectors is achieved.Furthermore,many theoretical results in fluid mechanics are simplified based on the differential forms coupled with the general form of Stokes'theorem. In particular,it elucidates the notion of divergence and circulation in the 3-dimensional flow case,and the results are reestablished in the case of 2-dimensional flow by the use of complex a-nalysis.Finally,for easy reference,some basic results from the theory of complex functions and the results from mathematical analysis are given.关键词
流体力学/Stokes'定理/复分析理论/复值函数Key words
fluid mechanics/Stokes'theorem/complex analysis/complex functions分类
数理科学引用本文复制引用
KANEMITSU S,李复活,KAMATA Y,MARUYAMA K..流体力学的数学基础[J].纺织高校基础科学学报,2016,29(3):275-285,290,12.基金项目
This work is supported by the SMX SUDA CO.(SDJN1001) （SDJN1001）
