节点文献
Hodge分解在最小耗散原理中的应用
Application of Hodge Decomposition on Minimum Dissipation Principle
【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.
【Abstract】 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;
【Key words】 variational formulation; Stokes equations; Hodge decomposition;
【Key words】 variational formulation; Stokes equations; Hodge decomposition;
【基金】 上海市重点学科建设项目(Y0103);国家自然科学基金(10772103)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2009年08期
- 【分类号】O35
- 【被引频次】2
- 【下载频次】133