Hodge分解在最小耗散原理中的应用  

Application of Hodge Decomposition on Minimum Dissipation Principle

作　　者：陈波[1] 李孝伟[1] 刘高联[1] 

机构地区：[1]上海大学应用数学和力学研究所,上海200072

出　　处：《数学的实践与认识》2009年第8期197-200,共4页Mathematics in Practice and Theory

基　　金：上海市重点学科建设项目(Y0103);国家自然科学基金(10772103)

摘　　要：就流体力学中的Helmholtz最小耗散原理的几种变分推导方法进行综述,利用Hodge分解定理给出一个新的推导方法.We present a novel derivation of the Stokes equations from the Helmholtz Minimum Dissipation Principle using the Hodge decomposition theorem. The advantage of the present method is that it provides more geometric insight into the structure of the solution of the Stokes equations than other existing approaches.

关 键 词：变分原理 STOKES方程 HODGE分解 

分 类 号：O35[理学—流体力学]