8 citations · 23 across the 13 of their papers we have counts for
13 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…
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…
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…
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…
Homogenization of high-contrast media in finite-strain elastoplasticity
Elisa Davoli, Chiara Gavioli, Valerio Pagliari
This work is devoted to the analysis of the interplay between internal variables and high-contrast microstructure in inelastic solids. As a concrete case-study, by means of variati…
A homogenization result in finite plasticity
Elisa Davoli, Chiara Gavioli, Valerio Pagliari
We carry out a variational study for integral functionals that model the stored energy of a heterogeneous material governed by finite-strain elastoplasticity with hardening. Assumi…
A model for lime consolidation of porous solids
Bettina Detmann, Chiara Gavioli, Pavel Krejčí +2
We propose a mathematical model describing the process of filling the pores of a building material with lime water solution with the goal to improve the consistency of the porous s…
Phase transitions in porous media
Chiara Gavioli, Pavel Krejci
The full quasistatic thermomechanical system of PDEs, describing water diffusion with the possibility of freezing and melting in a visco-elasto-plastic porous solid, is studied in…