Stratified flow in electric field, Schrödinger equation and operator extension theory model

The flow of inviscid incompressible stratified dielectric fluid in gravitational and electric field is considered. The problem is reduced to the linear equation analogous to the Schrödinger one. The existence of eddies caused by the electric field is shown. The model based on the operator extension theory for the discription of stratified flows near small obstacle and an obstacle with small aperture is constructed.