We establish stability properties of weak solutions for systems porous medium type with respect to the exponent m. Thereby we treat local case as well Cauchy-Dirichlet problems. Both degenerate and singular cases are covered.

The transport of small particles in soil voids is a common problem construction. Filtering determines the creation foundations by pumping liquid grout and building watertight walls soil. A 1-D model depth filtration for slurry porous medium considered. It assumed that velocity carrier high enough to detach deposited from carcass medium. To take into account effect sediment lifting, particle rel...

The purpose of any reconstruction method is to generate realizations of two- or multiphase disordered media that honor limited data for them, with the hope that the realizations provide accurate predictions for those properties of the media for which there are no data available, or their measurement is difficult. An important example of such stochastic systems is porous media for which the reco...