Navier-Stokes-Fourier fluids interacting with elastic shells
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10475611" target="_blank" >RIV/00216208:11320/23:10475611 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=niLFYcPI1a" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=niLFYcPI1a</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2422/2036-2145.202105_090" target="_blank" >10.2422/2036-2145.202105_090</a>
Alternative languages
Result language
angličtina
Original language name
Navier-Stokes-Fourier fluids interacting with elastic shells
Original language description
We study the motion of a compressible heat-conducting fluid in three dimensions interacting with a nonlinear flexible shell. The fluid is described by the full Navier-Stokes-Fourier system. The shell constitutes an unknown part of the boundary of the physical domain of the fluid and is changing in time. The solid is described as an elastic non-linear shell of Koiter type; in particular it possesses a non-convex elastic energy. We show the existence of a weak solution to the corresponding system of PDEs which exists until the moving boundary approaches a self-intersection or the non-linear elastic energy of the shell degenerates. This is achieved by compactness results (in highest order spaces) for the solid-deformation and fluid-density. Our solutions comply with the first and second law of thermodynamics: the total energy is preserved and the entropy balance is understood as a variational inequality.
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
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annali della Scuola Normale - Classe di Scienze
ISSN
0391-173X
e-ISSN
2036-2145
Volume of the periodical
24
Issue of the periodical within the volume
2
Country of publishing house
IT - ITALY
Number of pages
72
Pages from-to
619-690
UT code for WoS article
001033472900002
EID of the result in the Scopus database
2-s2.0-85166069977