On weak solutions to the problem of a rigid body with a cavity filled with a compressible fluid, and their asymptotic behavior

0522456 - MÚ 2021 RIV GB eng J - Článek v odborném periodiku
Galdi, G. P. - Mácha, Václav - Nečasová, Šárka
On weak solutions to the problem of a rigid body with a cavity filled with a compressible fluid, and their asymptotic behavior.
International Journal of Non-Linear Mechanics. Roč. 121, May (2020), č. článku 103431. ISSN 0020-7462. E-ISSN 1878-5638
Grant CEP: GA ČR(CZ) GA17-01747S
Institucionální podpora: RVO:67985840
Klíčová slova: asymptotic behaviors * compressible fluids * coupled systems * inertial motions
Obor OECD: Pure mathematics
Impakt faktor: 2.985, rok: 2020
Způsob publikování: Omezený přístup
https://doi.org/10.1016/j.ijnonlinmec.2020.103431

We prove the existence of a weak solution to the equations describing the inertial motions of a coupled system constituted by a rigid body containing a viscous compressible fluid. We then provide a weak-strong uniqueness result that allows us to completely characterize, under certain physical assumptions, the asymptotic behavior in time of the weak solution corresponding to smooth data of restricted “size”, and show that it tends to a uniquely determined steady-state.
Trvalý link: http://hdl.handle.net/11104/0306942