Approximate self-similar solutions for the boundary value problem   arising in modeling of gas flow in porous media with pressure dependent   permeability
  The flow of a gas through porous medium is considered in the case of pressure dependent permeability. Approximate self-similar solutions of the boundary-value problems are found. 
Nikolay A. Kudryashov, Mark B. Kochanov, Viktoria L. Savatorova
physics.flu-dyn