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On the motion of a body with a cavity filled with magnetohydrodynamic fluid
- 1.0585181 - MÚ 2025 RIV NL eng J - Journal Article
Huang, B. - Mácha, Václav - Nečasová, Šárka
On the motion of a body with a cavity filled with magnetohydrodynamic fluid.
Journal of Differential Equations. Roč. 398, July 25 (2024), s. 218-270. ISSN 0022-0396. E-ISSN 1090-2732
R&D Projects: GA ČR(CZ) GC22-08633J
Grant - others:AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985840
Keywords : magnetohydrodynamic compressible fluid * motion of the rigid body * strong solutions
OECD category: Pure mathematics
Impact factor: 2.4, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.jde.2024.03.009
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.
Permanent Link: https://hdl.handle.net/11104/0352926
Number of the records: 1