Dual variational principles for 3-D Navier-Stokes equations
Just recently the exact variational principles (VP) of the foil 3-D Navier-Stokes equations of viscous flow have been successfully established for the first time by the present author by means of a systematic reversed deduction method via the undetermined function. As a continuation and further development of that, a pair of new dual (reciprocal)VP is generated herein by means of the Friedrichs involutory transformation. These VP have the advantage over the previous ones that they possess apparent physical meaning of energy, providing a new rigorous theoretical basis for the finite element analysis of 3-D viscous flow.
Gao-lian Liu
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
1014-1019
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）