7 papers
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…
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…