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@inproceedings{32843,
author = {Kopfová, Jana and Eleuteri, Michela and Ipocoana, Erica and Krejčí, Pavel},
address = {Cham, Switzerland},
booktitle = {Extended Abstracts Spring 2018: Singularly Perturbed Systems, Multiscale},
doi = {http://dx.doi.org/10.1007/978-3-030-25261-8_20},
editor = {Andrei Korobeinikov, Magdalena Caubergh, Tomás Lázaro, Josep Sardanyés},
keywords = {Hysteresis operators; periodic solutions; mammalian lungs; convergence scheme},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Cham, Switzerland},
isbn = {978-3-030-25260-1},
pages = {131-135},
publisher = {Springer International Publishing},
title = {Breathing as a Periodic Gas Exchange in a Deformable Porous Medium},
url = {https://link.springer.com/chapter/10.1007%2F978-3-030-25261-8_20},
year = {2019}
}
TY - JOUR
ID - 32843
AU - Kopfová, Jana - Eleuteri, Michela - Ipocoana, Erica - Krejčí, Pavel
PY - 2019
TI - Breathing as a Periodic Gas Exchange in a Deformable Porous Medium
PB - Springer International Publishing
CY - Cham, Switzerland
SN - 9783030252601
KW - Hysteresis operators
KW - periodic solutions
KW - mammalian lungs
KW - convergence scheme
UR - https://link.springer.com/chapter/10.1007%2F978-3-030-25261-8_20
L2 - https://link.springer.com/chapter/10.1007%2F978-3-030-25261-8_20
N2 - We propose to model the mammalian 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 the gas exchange between the interior and exterior of the body. The main result consists of proving the existence of a periodic solution under an arbitrary periodic forcing in suitable function spaces.
ER -
KOPFOVÁ, Jana, Michela ELEUTERI, Erica IPOCOANA a Pavel KREJČÍ. Breathing as a Periodic Gas Exchange in a Deformable Porous Medium. In Andrei Korobeinikov, Magdalena Caubergh, Tomás Lázaro, Josep Sardanyés. \textit{Extended Abstracts Spring 2018: Singularly Perturbed Systems, Multiscale}. Cham, Switzerland: Springer International Publishing. s.~131-135. ISBN~978-3-030-25260-1. doi:10.1007/978-3-030-25261-8\_{}20. 2019.
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