7 papers · 1 filter
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…
On the existence of extensions for manifold-valued Sobolev maps on perforated domains
Chiara Gavioli, Leon Happ, Valerio Pagliari
Motivated by manifold-constrained homogenization problems, we construct suitable extensions for Sobolev functions defined on a perforated domain and taking values in a compact, con…
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…
Existence results for Cahn-Hilliard type systems driven by nonlocal integrodifferential operators with singular kernels
Elisa Davoli, Chiara Gavioli, Luca Lombardini
We introduce a fractional variant of the Cahn-Hilliard equation settled in a bounded domain and with a possibly singular potential. We first focus on the case of homogeneous Dirich…