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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

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • 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

  • 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