Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition

0500493 - MÚ 2019 RIV US eng J - Journal Article
Chemetov, N. - Nečasová, Šárka - Muha, B.
Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition.
Journal of Mathematical Physics. Roč. 60, č. 1 (2019), č. článku 011505. ISSN 0022-2488. E-ISSN 1089-7658
R&D Projects: GA ČR GA16-03230S
Institutional support: RVO:67985840
Keywords : fluid-rigid body * partial differential equation * viscous fluid
OECD category: Pure mathematics
Impact factor: 1.317, year: 2019
https://aip.scitation.org/doi/full/10.1063/1.5007824

We consider a coupled partial differential equation-ordinary differential equation system describing the motion of the rigid body in a container filled with the incompressible, viscous fluid. The fluid and the rigid body are coupled via Navier’s slip boundary condition. We prove that the local in time strong solution is unique in the larger class of weak solutions on the interval of its existence. This is the first weak-strong uniqueness result in the area of fluid-structure interaction with a moving boundary.
Permanent Link: http://hdl.handle.net/11104/0292553