Breathing as a Periodic Gas Exchange in a Deformable Porous Medium
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F19%3AA0000059" target="_blank" >RIV/47813059:19610/19:A0000059 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007%2F978-3-030-25261-8_20" target="_blank" >https://link.springer.com/chapter/10.1007%2F978-3-030-25261-8_20</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-25261-8_20" target="_blank" >10.1007/978-3-030-25261-8_20</a>
Alternative languages
Result language
angličtina
Original language name
Breathing as a Periodic Gas Exchange in a Deformable Porous Medium
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Extended Abstracts Spring 2018: Singularly Perturbed Systems, Multiscale
ISBN
978-3-030-25260-1
ISSN
2297-0215
e-ISSN
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Number of pages
5
Pages from-to
131-135
Publisher name
Springer International Publishing
Place of publication
Cham, Switzerland
Event location
Cham, Switzerland
Event date
Jan 1, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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