16 citations · 45 across the 15 of their papers we have counts for
20 papers
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…
Analysis of a tumor model as a multicomponent deformable porous medium
Pavel Krejci, Elisabetta Rocca, Juergen Sprekels
We propose a diffuse interface model to describe tumor as a multicomponent deformable porous medium. We include mechanical effects in the model by coupling the mass balance equatio…
Explicit and implicit non-convex sweeping processes in the space of absolutely continuous functions
Pavel Krejci, Giselle Antunes Monteiro, Vincenzo Recupero
We show that sweeping processes with possibly non-convex prox-regular constraints generate a strongly continuous input-output mapping in the space of absolutely continuous function…
Non-convex sweeping processes in the space of regulated functions
Pavel Krejci, Giselle Antunes Monteiro, Vincenzo Recupero
The aim of this paper is to study a wide class of non-convex sweeping processes with moving constraint whose translation and deformation are represented by regulated functions, i.e…
Oscillations of a temperature-dependent piezoelectric rod
Pavel Krejci, Giselle Antunes Monteiro
Piezoelectricity of some materials has shown to have many applications, in particular in energy harvesting. Due to the inherent hysteresis in the characteristic of such materials,…
Inverse parameter-dependent Preisach operator in thermo-piezoelectricity modeling
Pavel Krejci, Giselle Antunes Monteiro
Hysteresis is an important issue in modeling piezoelectric materials, for example, in applications to energy harvesting, where hysteresis losses may influence the efficiency of the…
A continuum of path-dependent equilibrium solutions induced by sticky expectations
Pavel Krejci, Eyram Kwame, Harbir Lamba +1
We analyze a simple macroeconomic model where rational inflation expectations is replaced by a boundedly rational, and genuinely sticky, response to changes in the actual inflation…
Global stability of a piecewise linear macroeconomic model with a continuum of equilibrium states and sticky expectation
Pavel Krejci, Harbir Lamba, Dmitrii Rachinskii
We consider piecewise linear discrete time macroeconomic models, which possess a continuum of equilibrium states. These systems are obtained by replacing rational inflation expecta…
Unsaturated deformable porous media flow with phase transition
Pavel Krejci, Elisabetta Rocca, Juergen Sprekels
In the present paper, a continuum model is introduced for fluid flow in a deformable porous medium, where the fluid may undergo phase transitions. Typically, such problems arise in…
Solvability of an unsaturated porous media flow problem with thermomechanical interaction
Bettina Albers, Pavel Krejci, Elisabetta Rocca
A PDE system consisting of the momentum balance, mass balance, and energy balance equations for displacement, capillary pressure, and temperature as a model for unsaturated fluid f…
A weighted finite element mass redistribution method for dynamic contact problems
Farshid Dabaghi, Pavel Krejci, Adrien Petrov +2
This paper deals with a one-dimensional wave equation being subjected to a unilateral boundary condition. An approximation of this problem combining the finite element and mass red…
A thermodynamically consistent phenomenological model for ferroelectric and ferroelastic hysteresis
Barbara Kaltenbacher, Pavel Krejci
We propose a hysteretic model for electromechanical coupling in piezoelectric materials, with the strain and the electric field as inputs and the stress and the polarization as out…
A new phase field model for material fatigue in oscillating elastoplastic beam
Michela Eleuteri, Jana Kopfova, Pavel Krejci
We pursue the study of fatigue accumulation in an oscillating elastoplastic beam under the additional hypothesis that the material can partially recover by the effect of melting. T…
Analytical solution for a class of network dynamics with mechanical and financial applications
Pavel Krejčí, Harbir Lamba, Sergey Melnik +1
We show that for a certain class of dynamics at the nodes the response of a network of any topology to arbitrary inputs is defined in a simple way by its response to a monotone inp…
A continuous dependence result for a nonstandard system of phase field equations
Pierluigi Colli, Gianni Gilardi, Pavel Krejčí +1
The present note deals with a nonstandard systems of differential equations describing a two-species phase segregation. This system naturally arises in the asymptotic analysis carr…
Well-posedness of an extended model for water-ice phase transitions
Pavel Krejci, Elisabetta Rocca
We propose an improved model explaining the occurrence of high stresses due to the difference in specific volumes during phase transitions between water and ice. The unknowns of th…
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity
Pierluigi Colli, Pavel Krejčí, Elisabetta Rocca +1
In this paper, we prove the existence and global boundedness from above for a solution to an integrodifferential model for nonisothermal multi-phase transitions under nonhomogeneou…
Phase separation in a gravity field
Pavel Krejci, Elisabetta Rocca, Juergen Sprekels
We prove here well-posedness and convergence to equilibria for the solution trajectories associated to a model for solidification of a liquid content of a rigid container in a grav…
A bottle in a freezer
Pavel Krejci, Elisabetta Rocca, Juergen Sprekels
We propose here a model for solidification of a liquid contents of an elastic bottle in a freezer. The main goal is to explain the occurrence of high stresses inside the bottle. As…