Motion of a nonisothermal multicomponent sorbable mixture in a porous medium

The numerical solutions of a system of quasilinear equations in partial derivatives, describing the motion of a nonisothermal multicomponent sorbable gas mixture (or mixture of liquids) through a porous saturated medium consisting of porous grains and incapable of undergoing deformation, are analyzed; the conditions for the convergence of the iteration process used in solving the difference scheme and for the stability of the numerical solutions are obtained; the necessary and sufficient conditions for the existence of solutions of the traveling-wave type, permitted by the system of equations of motion, are also analyzed.