On the motion of a body with a cavity filled with magnetohydrodynamic fluid

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00585181" target="_blank" >RIV/67985840:_____/24:00585181 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jde.2024.03.009" target="_blank" >https://doi.org/10.1016/j.jde.2024.03.009</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2024.03.009" target="_blank" >10.1016/j.jde.2024.03.009</a>

Result language
angličtina
Original language name
On the motion of a body with a cavity filled with magnetohydrodynamic fluid
Original language description
We study the dynamics of a coupled system, formed by a rigid body with a cavity entirely filled with magnetohydrodynamic compressible fluid. Our aim is to derive the global existence of the unique classical solutions and weak solutions to this system. Moreover, we show the weak-strong uniqueness principle which means that a weak solution coincides with a strong solution on the time existence of a strong solution, provided they emanate from the same initial data.
Czech name
—
Czech description
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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

Project
<a href="/en/project/GC22-08633J" target="_blank" >GC22-08633J: Qualitative Theory of the MHD and Related Equations</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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