J 2020

Periodic solutions of a hysteresis model for breathing

KOPFOVÁ, Jana, Michela ELEUTERI, Erica IPOCOANA and Pavel KREJČÍ

Basic 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

References:

ESAIM: Mathematical Modelling and Numerical Analysis

RIV identification code

RIV/47813059:19610/20:A0000075

Organization unit

Mathematical Institute in Opava

DOI

http://dx.doi.org/10.1051/m2an/2019060

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.
Displayed: 24/12/2024 15:04