... for the establishment of a variational principle from governing equations for a complex problem by the semi-inverse method. The new variational theory opens a new direction in fractal MEMS systems. Now we check the variational formulation of equation (2) by making it stationary: (8) δ J ( Λ ) = δ...

... approach to construction of a trial-functional with some free parameters. Variational theory Semi-inverse method Burger equation Plasma Editorial In 2017, Li and He found another variational principle, which reads (Li and He, 2017): (2) J L i − H e ( u , Φ...

... easily overcome the Lagrange crisis. Practical implications The semi-inverse method sheds a promising light on variational theory, and it can replace the Lagrange multiplier method for the establishment of a generalized variational principle. It can be used for the establishment of a variational...

... as: 08 08 2016 18 10 2016 19 10 2016 © Emerald Publishing Limited 2017 Emerald Publishing Limited Licensed re-use rights only Plasma Variational theory Burger equation Semi-inverse method Proof. The stationary conditions of equation (14) are: (10...

...H.Y. Liu; Na Si; Ji-Huan He Purpose – The purpose of this paper is to point out a paradox in variational theory for viscous flows. Chien (1984) claimed that a variational principle of maximum power loses for viscous fluids was established, however, it violated the well-known Helmholtz’s principle...