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. Extended Abstracts Spring 2018: Singularly Perturbed Systems, Multiscale. Cham, Switzerland: Springer International Publishing, 2019, s. 131-135. ISBN 978-3-030-25260-1. Dostupné z: https://dx.doi.org/10.1007/978-3-030-25261-8_20. |
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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, 2019, s.~131-135. ISBN~978-3-030-25260-1. Dostupné z: https://dx.doi.org/10.1007/978-3-030-25261-8\_{}20.
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