Original title: Note on the mathematical analysis of the motion of a rigid body in a generalized incompressible Navier-Stokes fluid
Authors: Al Baba, H. ; Ghosh, Amrita ; Muha, B. ; Nečasová, Šárka
Document type: Papers
Conference/Event: Topical Problems of Fluid Mechanics 2021, on-line (CZ), 20210217
Year: 2021
Language: eng
Abstract: 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.
Keywords: Navier slip condition; Navier-Stokes equations; non-Newtonian fluid; strong solution
Project no.: GA19-04243S (CEP)
Funding provider: GA ČR
Host item entry: Proceedings of Topical Problems of Fluid Mechanics 2021, ISBN 978-80-87012-76-5, ISSN 2336-5781
Note: Související webová stránka: https://doi.org/10.14311/TPFM.2021.001

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0329273

Permalink: http://www.nusl.cz/ntk/nusl-508508


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Research > Institutes ASCR > Institute of Mathematics
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