Periodic solutions of a hysteresis model for breathing
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 54 (2020) no. 1, pp. 255-257.

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.

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DOI : 10.1051/m2an/2019060
Classification : 35Q92, 35B10, 47J40
Mots-clés : Hysteresis operators, periodic solutions, mammalian lungs, convergence scheme 
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     title = {Periodic solutions of a hysteresis model for breathing},
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     pages = {255--257},
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Eleuteri, Michela; Ipocoana, Erica; Kopfová, Jana; Krejčí, Pavel. Periodic solutions of a hysteresis model for breathing. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 54 (2020) no. 1, pp. 255-257. doi : 10.1051/m2an/2019060. http://www.numdam.org/articles/10.1051/m2an/2019060/

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