4 papers
Analytic description of the moving moisture front in soils
Bettina Detmann, Chiara Gavioli, Pavel Krejčí +1
The fact that moisture propagates in soils at a finite speed is confirmed by natural everyday experience as well as by controlled laboratory tests. In this text, we rigorously deri…
Diffusion in porous media with hysteresis and bounded speed of propagation
Chiara Gavioli, Pavel Krejčí
It is shown that the problem of moisture propagation in porous media with a nonlinear relation between the mass flux and the pressure gradient as a counterpart of the Darcy law exh…
Deformable porous media with degenerate hysteresis in gravity field
Chiara Gavioli, Pavel Krejčí
Hysteresis in the pressure-saturation relation in unsaturated porous media, which is due to surface tension on the liquid-gas interface, exhibits strong degeneracy in the resulting…
Some remarks on a mathematical model for water flow in porous media with competition between transport and diffusion
Judita Runcziková, Jan Chleboun, Chiara Gavioli +1
The contribution deals with the mathematical modelling of fluid flow in porous media, in particular water flow in soils, with the aim of describing the competition between transpor…