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

0585181 - MÚ 2025 RIV NL eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GC22-08633J
Grant ostatní: AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institucionální podpora: RVO:67985840
Klíčová slova: magnetohydrodynamic compressible fluid * motion of the rigid body * strong solutions
Obor OECD: Pure mathematics
Impakt faktor: 2.4, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: https://hdl.handle.net/11104/0352926