A canonical form of the multi-component filtration system. Hyperbolicity and stability

The propagation of small discontinuities (е-breaks) is studied as applied to the multidimensional multi-component filtration problem. The characteristic properties of the problem are investigated. The canonical form of the governing system is presented and the concept of characteristic is specified in connection with the problem under consideration. This form consists of a “hyperbolic” subsystem and a “parabolic” equation as well. Stability of the flow is discussed.