Note on the mathematical analysis of the motion of a rigid body in a generalized incompressible Navier-Stokes fluid

0554564 - MÚ 2022 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Al Baba, H. - Ghosh, Amrita - Muha, B. - Nečasová, Šárka
Note on the mathematical analysis of the motion of a rigid body in a generalized incompressible Navier-Stokes fluid.
Proceedings of Topical Problems of Fluid Mechanics 2021. Prague: Institute of Thermomechanics AS CR, v. v. i., 2021 - (Bodnár, T.; Neustupa, T.; Šimurda, D.), s. 1-7. ISBN 978-80-87012-76-5. ISSN 2336-5781.
[Topical Problems of Fluid Mechanics 2021. on-line (CZ), 17.02.2021-19.02.2021]
Grant CEP: GA ČR(CZ) GA19-04243S
Institucionální podpora: RVO:67985840
Klíčová slova: Navier-Stokes equations * non-Newtonian fluid * Navier slip condition * strong solution
Obor OECD: Pure mathematics
https://doi.org/10.14311/TPFM.2021.001

Wedeal with a fluid-structure interaction problem: a motion of the rigid body inside a bounded domain filled by a fluid. We consider a viscous incompressible fluid described by the generalized incompressible Navier-Stokes equations which include cases of Newtonian and non-Newtonian f luids. The fluid and the rigid body are coupled via the Navier slip boundary conditions and the motion of the solid is governed by Newton’s laws. We also investigate the case of the nonlinear slip condition.The main results assert the existence of strong solutions, in an Lp − Lq setting.
Trvalý link: http://hdl.handle.net/11104/0329273