Abstract

Numerical methods are analyzed of solving the quasilinear system of partial differential equations describing the motion of a sorbed gas (liquid) mixture through a porous, saturated, nondeformable medium consisting of porous grains. Conditions are obtained for convergence of the iteration process of a difference scheme. Conditions are found under which the system attains invariant solutions of the running-wave type. Estimates are obtained of times and coordinates, during which and through whose passage the solutions of the boundary-value problem become invariant.

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