Fluid-rigid body interaction in an incompressible electrically conducting fluid
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00571370" target="_blank" >RIV/67985840:_____/23:00571370 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/23:10475751
Result on the web
<a href="https://doi.org/10.1137/22M148255" target="_blank" >https://doi.org/10.1137/22M148255</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/22M148255X" target="_blank" >10.1137/22M148255X</a>
Alternative languages
Result language
angličtina
Original language name
Fluid-rigid body interaction in an incompressible electrically conducting fluid
Original language description
We analyze a mathematical model that describes the interaction between an insulating rigid body and an incompressible electrically conducting fluid surrounding it. The model as well as the mathematical analysis involve the fields of fluid-structure interaction and of magnetohydrodynamics. Our main result shows the existence of a weak solution to the corresponding system of partial differential equations. The proof relies on a use of a time discretization via the Rothe method to decouple the system. This allows us to deal with test functions, depending on the position of the moving body and therefore on the solution of the system, in the weak formulation of the induction equation. The proof moreover makes use of the Brinkman penalization in order to cope with the mechanical part of the problem.
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
Result was created during the realization of more than one project. More information in the Projects tab.
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
SIAM Journal on Mathematical Analysis
ISSN
0036-1410
e-ISSN
1095-7154
Volume of the periodical
55
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
37
Pages from-to
929-965
UT code for WoS article
000995791100007
EID of the result in the Scopus database
2-s2.0-85159770000