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20162024
most citedDegenerate diffusion with Preisach hysteresis

8 citations · 14 across the 7 of their papers we have counts for

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6 papers · 1 filter

math.AP2024

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…

math.AP2024★ 1 cited

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…

math.AP2024★ 3 cited

Degenerate diffusion in porous media with hysteresis-dependent permeability

Chiara Gavioli, Pavel Krejčí

Hysteresis in the relation between the capillary pressure and the moisture content in unsaturated porous media, which is due to surface tension at the liquid-gas interface, exhibit…

math.AP2023★ 2 cited

Long-time behaviour of a porous medium model with degenerate hysteresis

Chiara Gavioli, Pavel Krejčí

Hysteresis in the pressure-saturation relation in unsaturated porous media, owing to surface tension on the liquid-gas interface, exhibits strong degeneracy in the resulting mass b…

math.AP2023★ 8 cited

Degenerate diffusion with Preisach hysteresis

Chiara Gavioli, Pavel Krejčí

Fluid diffusion in unsaturated porous media manifests strong hysteresis effects due to surface tension on the liquid-gas interface. We describe hysteresis in the pressure-saturatio…

math.AP2016

Periodic waves in unsaturated porous media with hysteresis

B. Albers, P. Krejci, E. Rocca

We consider a PDE system with degenerate hysteresis describing unsaturated flow in 3D porous media. Assuming that a time periodic forcing is prescribed on the boundary, we prove th…