Periodic solutions of a hysteresis model for breathing
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00522352" target="_blank" >RIV/67985840:_____/20:00522352 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/20:00338055 RIV/47813059:19610/20:A0000075
Result on the web
<a href="https://doi.org/10.1051/m2an/2019060" target="_blank" >https://doi.org/10.1051/m2an/2019060</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/m2an/2019060" target="_blank" >10.1051/m2an/2019060</a>
Alternative languages
Result language
angličtina
Original language name
Periodic solutions of a hysteresis model for breathing
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
E S A I M: Mathematical Modelling and Numerical Analysis
ISSN
0764-583X
e-ISSN
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Volume of the periodical
54
Issue of the periodical within the volume
1
Country of publishing house
FR - FRANCE
Number of pages
17
Pages from-to
255-271
UT code for WoS article
000510734100001
EID of the result in the Scopus database
2-s2.0-85086707416