KOPFOVÁ, Jana, Michela ELEUTERI, Erica IPOCOANA and Pavel KREJČÍ. Periodic solutions of a hysteresis model for breathing. 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. |
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@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.
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