Nonlinear Models of the Fluid Flow in Porous Media and Their Methods of Study

Gradient Hölder regularity for degenerate parabolic systems

“…Since real groundwater flow is three dimensional, there is the need to extrapolate from 1-D to 3-D. The extension is rather straightforward, if one takes into account that the properties of a porous material are the same in all directions (see the discussion in Section 2.5 of [9]).…”

“…where C 2 and α are suitable positive, constant parameters. In the so-called Smreker-Izbash-Missbach law we have α ∈ ( 1 2 , 1), but a wide range of values of α has been considered in the literature (see, for example, Section 2.5 of [9]).…”