Bifurcation and numerical study in an EHD convection problem

The linear eigenvalue problem governing the stability of the mechanical equilibrium of the fluid in a electrohydrodynamic (EHD) convection problem is investigated. The analytical study is one of bifurcation. This allows us to regain the expression of the neutral surface in the classical case. The method used in the numerical study is a Galerkin type spectral method based on polynomials and it provides good results.