...Ji-Huan He Purpose It is extremely difficult to establish a variational principle for plasma. Kalaawy obtained a variational principle by using the semi-inverse method in 2016, and Li and He suggested a modification in 2017. This paper aims to search for a generalized variational formulation...

... of a soliton is modeled based on He’s fractal derivative in a microgravity space. The variational principle of the alternative model is constructed by semi-inverse method. The variational principle can be used to establish the conservation laws and reveal the structure of the solution. Finally, its approximate...

...Ji-Huan He Purpose A three-dimensional (3D) unsteady potential flow might admit a variational principle. The purpose of this paper is to adopt a semi-inverse method to search for the variational formulation from the governing equations. Design/methodology/approach A suitable trial functional...

... method is adopted in the derivation process. To effectively use the semi-inverse method, a potential function is introduced, and the trial functional is constructed with some nonzero parameters, which are such identified that the stationary conditions satisfy the governing equations. Findings...

... written in the form: (Equation 13) Variational theory Navier-Stokes equation Semi-inverse method Viscous flow The variational theory for viscous flow has been caught much attention, and various variational formulations were established for some special cases (Bogner, 2008 ; Chen...