are scrutinized by considering the basic requirements of formulating thermodynamic fundamental equations. The different generalized Laplace equations of different theories stem from the different setups of the fundamental equation. It is concluded that only...

Two derivations are given of the generalized Laplace equation of capillarity, which assume constant surface tensions and constant curvature potentials over the surface for highly curved interfaces a priori: one based on hydrostatics and the other...

A solution for Laplace partial differential equation by using Spline basis functions is presented. The formulation is derived and its differences with the finite element method are explained. The ...