  In this paper, we study non-stationary filtration of real gases in porous
media. Thermodynamic state of the medium is given by van der Waals state
equations. Solutions for non-stationary filtration equation are obtained by
means of finite dimensional dynamics. The analysis of phase transitions along
the flow in case of isentropic and isenthalpic processes is presented as well
as singular properties of solutions obtained are discussed. Domains in the jet
space where the dynamics found is an attractor are shown.
