Compressible Fluids Interacting with a Linear-Elastic Shell
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10372078" target="_blank" >RIV/00216208:11320/18:10372078 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00205-017-1199-8" target="_blank" >http://dx.doi.org/10.1007/s00205-017-1199-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00205-017-1199-8" target="_blank" >10.1007/s00205-017-1199-8</a>
Alternative languages
Result language
angličtina
Original language name
Compressible Fluids Interacting with a Linear-Elastic Shell
Original language description
We study the Navier-Stokes equations governing the motion of an isentropic compressible fluid in three dimensions interacting with a flexible shell of Koiter type. The latter one constitutes a moving part of the boundary of the physical domain. Its deformation is modeled by a linearized version of Koiter's elastic energy. We show the existence of weak solutions to the corresponding system of PDEs provided the adiabatic exponent satisfies gamma > 12/7 (gamma > 1 in two dimensions). The solution exists until the moving boundary approaches a self-intersection. This provides a compressible counterpart of the results in Lengeler and Ruzicka (Arch Ration Mech Anal 211(1):205-255, 2014) on incompressible Navier-Stokes equations.
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/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archive for Rational Mechanics and Analysis
ISSN
0003-9527
e-ISSN
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Volume of the periodical
228
Issue of the periodical within the volume
2
Country of publishing house
DE - GERMANY
Number of pages
68
Pages from-to
495-562
UT code for WoS article
000425729600005
EID of the result in the Scopus database
2-s2.0-85035335907