Simulation of two-component mixture separation by zone electrophoresis

Separation of two-component mixture under action of an electric field is investigated. We assume that conductivity is depended on concentration components of mixture. This problem is known as zone electrophoresis. Depending on initial conditions diffusionless approximation of the model is described by the system of equations which can be either hyperbolic or elliptic. For the case of hyperbolicity the system is transformed to Riemann invariants and is analyzed by the method of characteristics. We considered cases when a shock wave interacts with another one or with a rarefaction wave. Solutions for each stage of separation process are obtained.