Detailed Information on Publication Record
2020
Periodic solutions of a hysteresis model for breathing
KOPFOVÁ, Jana, Michela ELEUTERI, Erica IPOCOANA and Pavel KREJČÍBasic information
Original name
Periodic solutions of a hysteresis model for breathing
Authors
KOPFOVÁ, Jana (703 Slovakia, belonging to the institution), Michela ELEUTERI (380 Italy, guarantor), Erica IPOCOANA (380 Italy) and Pavel KREJČÍ (203 Czech Republic)
Edition
ESAIM: Mathematical Modelling and Numerical Analysis, Les Ulis, EDP Sciences, 2020, 0764-583X
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10102 Applied mathematics
Country of publisher
France
Confidentiality degree
není předmětem státního či obchodního tajemství
RIV identification code
RIV/47813059:19610/20:A0000075
Organization unit
Mathematical Institute in Opava
UT WoS
000510734100001
Keywords in English
Hysteresis operators; periodic solutions; mammalian lungs; convergence scheme
Tags
Tags
International impact, Reviewed
Změněno: 23/3/2021 15:19, Mgr. Aleš Ryšavý
Abstract
V originále
We propose to model the lungs as a viscoelastic deformable porous medium with a hysteretic pressure–volume relationship described by the Preisach operator. Breathing is represented as an isothermal time-periodic process with gas exchange between the interior and exterior of the body. The main result consists in proving the existence of a periodic solution under an arbitrary periodic forcing in suitable function spaces.