Periodic solutions of a hysteresis model for breathing

@article{39684,
   author = {Kopfová, Jana and Eleuteri, Michela and Ipocoana, Erica and Krejčí, Pavel},
   article_location = {Les Ulis},
   article_number = {1},
   doi = {http://dx.doi.org/10.1051/m2an/2019060},
   keywords = {Hysteresis operators; periodic solutions; mammalian lungs; convergence scheme},
   language = {eng},
   issn = {0764-583X},
   journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
   title = {Periodic solutions of a hysteresis model for breathing},
   url = {https://www.esaim-m2an.org/articles/m2an/abs/2020/01/m2an190020/m2an190020.html},
   volume = {54},
   year = {2020}
}

TY  - JOUR
ID  - 39684
AU  - Kopfová, Jana - Eleuteri, Michela - Ipocoana, Erica - Krejčí, Pavel
PY  - 2020
TI  - Periodic solutions of a hysteresis model for breathing
JF  - ESAIM: Mathematical Modelling and Numerical Analysis
VL  - 54
IS  - 1
SP  - 255-271
EP  - 255-271
PB  - EDP Sciences
SN  - 0764583X
KW  - Hysteresis operators
KW  - periodic solutions
KW  - mammalian lungs
KW  - convergence scheme
UR  - https://www.esaim-m2an.org/articles/m2an/abs/2020/01/m2an190020/m2an190020.html
L2  - https://www.esaim-m2an.org/articles/m2an/abs/2020/01/m2an190020/m2an190020.html
N2  - 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.
ER  - 

KOPFOVÁ, Jana, Michela ELEUTERI, Erica IPOCOANA and Pavel KREJČÍ. Periodic solutions of a hysteresis model for breathing. \textit{ESAIM: Mathematical Modelling and Numerical Analysis}. Les Ulis: EDP Sciences, 2020, vol.~54, No~1, p.~255-271. ISSN~0764-583X. Available from: https://dx.doi.org/10.1051/m2an/2019060.