The motion of a rigid body and a viscous fluid in a bounded domain in presence of collisions

0487359 - MÚ 2019 RIV US eng J - Článek v odborném periodiku
Chemetov, N. - Nečasová, Šárka
The motion of a rigid body and a viscous fluid in a bounded domain in presence of collisions.
2577-8242. Fluid Mechanics Research International Journal. Roč. 2, č. 1 (2018), č. článku 00014. ISSN 2577-8242
Grant CEP: GA ČR GA16-03230S
Institucionální podpora: RVO:67985840
Klíčová slova: Navier-Stokes equations * Navier boundary condition * solidification
Obor OECD: Pure mathematics
http://medcraveonline.com/FMRIJ/FMRIJ-02-00014.pdf

We consider the motion of a rigid body in a bounded domain filled by viscous incompressible fluid. The fluid is described by the Navier-Stokes equations. We assume the Navier condition on the boundary of the body and the Dirichlet condition on the boundary of the domain. We give the global-in-time solvability result of the weak solution. The result allows a possibility of collisions of the body with the boundary of the domain.
Trvalý link: http://hdl.handle.net/11104/0282026