Abstract:
The basic system of integral and differential equations is obtained that describes the evolution of a liquid-liquid interface in inhomogeneous ground layers such that the square root of their conductivity is described by a metaharmonic function. A discrete scheme for the basic system of equations is constructed using the method of discrete vortex pairs.
Key words:two-dimensional model of liquid-liquid interface evolution, double-layer quasi-potential, method of discrete singularities, finite-difference solution method.