Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition (CROSBI ID 260703)
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Podaci o odgovornosti
Chemetov, Nikolai V. ; Nečasová, Šárka ; Muha, Boris
engleski
Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition
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.
fluid-rigid body system ; weak-strong uniqueness ; Navier slip boundary condition
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Podaci o izdanju
60 (1)
2019.
011505
13
objavljeno
0022-2488
1089-7658
10.1063/1.5007824