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 - Journal Article
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
R&D Projects: GA ČR(CZ) GA17-01747S
Institutional support: RVO:67985840
Keywords : asymptotic behaviors * compressible fluids * coupled systems * inertial motions
OECD category: Pure mathematics
Impact factor: 2.985, year: 2020
Method of publishing: Limited access
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.
Permanent Link: http://hdl.handle.net/11104/0306942